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Finding the Fourth Proportional to 577.02, 861.32 and 500.52

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Solution

The fourth proportional to 577.02, 861.32 and 500.52 is: 747.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.02 : 861.32 = 500.52 : x
  2. Step 2: Convert to fraction form
    577.02/861.32 = 500.52/x
  3. Step 3: Cross multiply
    577.02x = 861.32 × 500.52
  4. Step 4: Simplify right side
    577.02x = 431,105.38
  5. Step 5: Solve for x
    x = 431,105.38/577.02
  6. Step 6: Final answer
    x = 747.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.