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Finding the Fourth Proportional to 458.61, 686.88 and 275.55

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Solution

The fourth proportional to 458.61, 686.88 and 275.55 is: 412.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.61 : 686.88 = 275.55 : x
  2. Step 2: Convert to fraction form
    458.61/686.88 = 275.55/x
  3. Step 3: Cross multiply
    458.61x = 686.88 × 275.55
  4. Step 4: Simplify right side
    458.61x = 189,269.78
  5. Step 5: Solve for x
    x = 189,269.78/458.61
  6. Step 6: Final answer
    x = 412.70

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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.