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Finding the Fourth Proportional to 624.49, 861.33 and 403.27

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Solution

The fourth proportional to 624.49, 861.33 and 403.27 is: 556.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.49 : 861.33 = 403.27 : x
  2. Step 2: Convert to fraction form
    624.49/861.33 = 403.27/x
  3. Step 3: Cross multiply
    624.49x = 861.33 × 403.27
  4. Step 4: Simplify right side
    624.49x = 347,348.55
  5. Step 5: Solve for x
    x = 347,348.55/624.49
  6. Step 6: Final answer
    x = 556.21

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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.