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Finding the Fourth Proportional to 624.28, 861.11 and 414.45

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Solution

The fourth proportional to 624.28, 861.11 and 414.45 is: 571.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.28 : 861.11 = 414.45 : x
  2. Step 2: Convert to fraction form
    624.28/861.11 = 414.45/x
  3. Step 3: Cross multiply
    624.28x = 861.11 × 414.45
  4. Step 4: Simplify right side
    624.28x = 356,887.04
  5. Step 5: Solve for x
    x = 356,887.04/624.28
  6. Step 6: Final answer
    x = 571.68

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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.