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Finding the Fourth Proportional to 575.53, 861.24 and 498.76

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Solution

The fourth proportional to 575.53, 861.24 and 498.76 is: 746.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.53 : 861.24 = 498.76 : x
  2. Step 2: Convert to fraction form
    575.53/861.24 = 498.76/x
  3. Step 3: Cross multiply
    575.53x = 861.24 × 498.76
  4. Step 4: Simplify right side
    575.53x = 429,551.78
  5. Step 5: Solve for x
    x = 429,551.78/575.53
  6. Step 6: Final answer
    x = 746.36

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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.