Is this battery compatible with the 455 g1 laptop?

Hi @jeffreyhol86712

I would say that they're not compatible.

Here are the HP part numbers for the batteries compatible with each model.

As you can see they're different. Manufacturer's tend to to use the same parts across different models if they were compatible as it saves on costs.

ProBook 455 G2 Battery - see p.36 of the 455 G2 maintenance and service guide

4-cell, 44 WHr, 3.0 Ah Li-ion battery 756744-001

4-cell, 40 WHr, 3.0 Ah Li-ion battery 756746-001

ProBook 455 G1 Battery - see p.38 of the 455 G1 maintenance and service guide

9-cell, 93 WHr, 2.8 Ah Li-ion battery 708458-001

6-cell, 47 WHr, 2.2 Ah Li-ion battery 708457-001

Search online using the part number only, to find battery suppliers that suit you best.