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Finding the Fourth Proportional to 616.46, 851.08 and 458.90

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Solution

The fourth proportional to 616.46, 851.08 and 458.90 is: 633.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.46 : 851.08 = 458.90 : x
  2. Step 2: Convert to fraction form
    616.46/851.08 = 458.90/x
  3. Step 3: Cross multiply
    616.46x = 851.08 × 458.90
  4. Step 4: Simplify right side
    616.46x = 390,560.61
  5. Step 5: Solve for x
    x = 390,560.61/616.46
  6. Step 6: Final answer
    x = 633.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.