"boost towards" is correct and usable in written English.
You can use it when you want to describe something moving in the direction of something else. For example, "He ran full speed, boosting towards the finish line."
This success gave him a boost towards his ambition to become a professional photographer.
And they've just received a huge boost towards that end, too, as Holland just went a goal up through Huntelaar.
He has a point: governing parties typically get a poll boost towards the end of their terms in office.
For parents with children born late in the academic year, the free hours can be a huge boost towards paying the first year's school fees.
"I think this would be a real boost towards ending the gridlock which has bedeviled us," said Senator Carl Levin, a Michigan Democrat.
Local governments that are not afraid to experiment and reach out to businesses such as green builders or clean energy startups are also a boost towards the development of a sustainable business culture.
The network's traffic was boosted towards the end of the month when the first stories on the US embassy cables from WikiLeaks were published online on 29 November.
Performance will be boosted towards the 10 Tflops range.
Explaining his conspiracy theory, he suggested Israel was behind the mass shooting because it wanted to "boost enmity towards Islam", the Financial Times reports.
"But Tim Ambrose and then Rikki Clarke batted with aggression to boost Warwickshire towards a late afternoon declaration.
The conservative Civic Democrats have 20.2%, but potential allies could boost that towards a majority.
