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Finding the Fourth Proportional to 500.34, 749.31 and 421.86

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Solution

The fourth proportional to 500.34, 749.31 and 421.86 is: 631.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.34 : 749.31 = 421.86 : x
  2. Step 2: Convert to fraction form
    500.34/749.31 = 421.86/x
  3. Step 3: Cross multiply
    500.34x = 749.31 × 421.86
  4. Step 4: Simplify right side
    500.34x = 316,103.92
  5. Step 5: Solve for x
    x = 316,103.92/500.34
  6. Step 6: Final answer
    x = 631.78

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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.