Finding the Fourth Proportional to 705.13, 1,057.77 and 242.99
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Solution
The fourth proportional to 705.13, 1,057.77 and 242.99 is: 364.51
Step by Step Solution
- Step 1: Write the proportion equation
705.13 : 1,057.77 = 242.99 : x - Step 2: Convert to fraction form
705.13/1,057.77 = 242.99/x - Step 3: Cross multiply
705.13x = 1,057.77 × 242.99 - Step 4: Simplify right side
705.13x = 257,022.24 - Step 5: Solve for x
x = 257,022.24/705.13 - Step 6: Final answer
x = 364.51
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.