The Briton failed to make the final in Daegu but her performance on Thursday, when she crossed the line in one minute 58.92 seconds, ensured she won the Diamond Race - the aggregate of results over the season - and the US dollars 40,000 prize that goes with it.
Mariya Savinova won after closing a huge gap on the final straight with Caster Semenya in fifth.
Meadows told BBC2: "Top three, fantastic. Obviously last week I was devastated, not to get in the final first and foremost.
"But that just shows I am growing each year.
"I am starting to believe in myself now as well.
"It was a blip - I've got to believe that."
Andy Turner was fifth in a 110m hurdles race in which Dayron Robles put new world champion Jason Richardson in his place.
Robles led from start to finish, crossing the line in 13.02, 0.08 ahead with David Oliver in third.
Robles was disqualified after winning the world title with Richardson instead crowned champion while Turner moved up from fourth to the bronze medal place.
However, the Briton was never in contention in Zurich as he finished in 13.41.
Turner said: "My body is beginning to fall apart.
"I am just going to have a good rest, and come back next year hopefully stronger."
Of his medal he added: "I kind of got on with things straightaway to be fair. I was training the next day.
"Because I didn't cross the line in third I couldn't celebrate as a medallist.
"I kind of accepted fourth.
"To be handed the bronze, obviously I'll take the medal but I could not really fully celebrate that."
The men's 4x100m relay squad went some way to atoning for failing to finish in Daegu when they were second.
Craig Pickering, James Ellington and Marlon Devonish handed over to Mark Lewis-Francis with a clear lead over Jamaicans before the world record-holders chased the Briton down.
Lewis-Francis said: "I got ran down by a Jamaican - I can't complain."
Devonish added: "That is where we need to do it. I am quite happy with that."
Martyn Rooney was sixth as Kirani James underlined his status as world champion in the 400m.
The Jamaican set a new national record of 44.36 with the Briton finishing in 45.63.
Yohan Blake won the 100m in a new personal best of 9.82, Nixon Chepseba won the 1,500m and Ezekiel Kemboi claimed the 3,000m steeplechase.
Kaliese Spencer won the 400m hurdles, Vivien Cheruiyot set a meet record of 14:30.11 in the 5,000m and Carmelita Jeter took the 200m.
Britain's Goldie Sayers was fifth in the javelin with a throw of 62.25.