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Finding the Fourth Proportional to 458.31, 686.64 and 381.76

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Solution

The fourth proportional to 458.31, 686.64 and 381.76 is: 571.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.31 : 686.64 = 381.76 : x
  2. Step 2: Convert to fraction form
    458.31/686.64 = 381.76/x
  3. Step 3: Cross multiply
    458.31x = 686.64 × 381.76
  4. Step 4: Simplify right side
    458.31x = 262,135.26
  5. Step 5: Solve for x
    x = 262,135.26/458.31
  6. Step 6: Final answer
    x = 571.96

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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.