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Finding the Fourth Proportional to 458.92, 686.27 and 342

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Solution

The fourth proportional to 458.92, 686.27 and 342 is: 511.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.92 : 686.27 = 342 : x
  2. Step 2: Convert to fraction form
    458.92/686.27 = 342/x
  3. Step 3: Cross multiply
    458.92x = 686.27 × 342
  4. Step 4: Simplify right side
    458.92x = 234,704.34
  5. Step 5: Solve for x
    x = 234,704.34/458.92
  6. Step 6: Final answer
    x = 511.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.