"to lift or raise by pushing from behind," 1815, literal and figurative, American English, of unknown origin. Related: Boosted; boosting. As a noun, "a lift, a shove up, an upward push," by 1825.
The tax cut will boost the economy
boost the voltage in an electrical circuit
The singer had to be boosted onto the stage by a special contraption
he gave her a boost over the fence