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Finding the Fourth Proportional to 624.53, 861.70 and 400.36

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Solution

The fourth proportional to 624.53, 861.70 and 400.36 is: 552.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.53 : 861.70 = 400.36 : x
  2. Step 2: Convert to fraction form
    624.53/861.70 = 400.36/x
  3. Step 3: Cross multiply
    624.53x = 861.70 × 400.36
  4. Step 4: Simplify right side
    624.53x = 344,991.85
  5. Step 5: Solve for x
    x = 344,991.85/624.53
  6. Step 6: Final answer
    x = 552.40

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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.