A lap time of one minute 33.279 seconds saw Hamilton comfortably top final practice at the Sochi Autodrom.
In the early stages of the hour long session, drivers up and down the pitlane had been complaining of a lack of grip from the Russian tarmac, but as the temperatures grew, the lap times tumbled.
Bottas, who had topped both previous practice sessions, struggled most, setting times half a second slower than his Friday best and 0.776secs slower than Hamilton's practice three benchmark.
Carlos Sainz, running an older specification front wing than McLaren team-mate Lando Norris, set the third fastest time of the session. Norris failed to set a representative time in the session, nor did Red Bull driver Alex Albon who saw his only attempt deleted for a track limits violation.
An early effort from Max Verstappen had given hope that the Dutchman could get involved in the battle for pole, but the Dutchman ended final practice sixth and 1.027secs off Hamilton.
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