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Finding the Fourth Proportional to 655.01, 902.87 and 497.13

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Solution

The fourth proportional to 655.01, 902.87 and 497.13 is: 685.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.01 : 902.87 = 497.13 : x
  2. Step 2: Convert to fraction form
    655.01/902.87 = 497.13/x
  3. Step 3: Cross multiply
    655.01x = 902.87 × 497.13
  4. Step 4: Simplify right side
    655.01x = 448,841.28
  5. Step 5: Solve for x
    x = 448,841.28/655.01
  6. Step 6: Final answer
    x = 685.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.