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Finding the Fourth Proportional to 624.76, 861.87 and 403.90

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Solution

The fourth proportional to 624.76, 861.87 and 403.90 is: 557.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.76 : 861.87 = 403.90 : x
  2. Step 2: Convert to fraction form
    624.76/861.87 = 403.90/x
  3. Step 3: Cross multiply
    624.76x = 861.87 × 403.90
  4. Step 4: Simplify right side
    624.76x = 348,109.93
  5. Step 5: Solve for x
    x = 348,109.93/624.76
  6. Step 6: Final answer
    x = 557.19

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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.