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Finding the Fourth Proportional to 655.29, 902.75 and 542.57

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Solution

The fourth proportional to 655.29, 902.75 and 542.57 is: 747.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.29 : 902.75 = 542.57 : x
  2. Step 2: Convert to fraction form
    655.29/902.75 = 542.57/x
  3. Step 3: Cross multiply
    655.29x = 902.75 × 542.57
  4. Step 4: Simplify right side
    655.29x = 489,797.84
  5. Step 5: Solve for x
    x = 489,797.84/655.29
  6. Step 6: Final answer
    x = 747.45

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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.