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Finding the Fourth Proportional to 624.90, 861.39 and 493.68

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Solution

The fourth proportional to 624.90, 861.39 and 493.68 is: 680.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.90 : 861.39 = 493.68 : x
  2. Step 2: Convert to fraction form
    624.90/861.39 = 493.68/x
  3. Step 3: Cross multiply
    624.90x = 861.39 × 493.68
  4. Step 4: Simplify right side
    624.90x = 425,251.02
  5. Step 5: Solve for x
    x = 425,251.02/624.90
  6. Step 6: Final answer
    x = 680.51

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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.