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Finding the Fourth Proportional to 655.38, 902.34 and 537.57

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Solution

The fourth proportional to 655.38, 902.34 and 537.57 is: 740.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.38 : 902.34 = 537.57 : x
  2. Step 2: Convert to fraction form
    655.38/902.34 = 537.57/x
  3. Step 3: Cross multiply
    655.38x = 902.34 × 537.57
  4. Step 4: Simplify right side
    655.38x = 485,070.91
  5. Step 5: Solve for x
    x = 485,070.91/655.38
  6. Step 6: Final answer
    x = 740.14

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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.