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Finding the Fourth Proportional to 527.46, 726.18 and 500.12

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Solution

The fourth proportional to 527.46, 726.18 and 500.12 is: 688.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.46 : 726.18 = 500.12 : x
  2. Step 2: Convert to fraction form
    527.46/726.18 = 500.12/x
  3. Step 3: Cross multiply
    527.46x = 726.18 × 500.12
  4. Step 4: Simplify right side
    527.46x = 363,177.14
  5. Step 5: Solve for x
    x = 363,177.14/527.46
  6. Step 6: Final answer
    x = 688.54

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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.