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Finding the Fourth Proportional to 458.46, 686.55 and 342.78

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Solution

The fourth proportional to 458.46, 686.55 and 342.78 is: 513.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.46 : 686.55 = 342.78 : x
  2. Step 2: Convert to fraction form
    458.46/686.55 = 342.78/x
  3. Step 3: Cross multiply
    458.46x = 686.55 × 342.78
  4. Step 4: Simplify right side
    458.46x = 235,335.61
  5. Step 5: Solve for x
    x = 235,335.61/458.46
  6. Step 6: Final answer
    x = 513.32

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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.