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Finding the Fourth Proportional to 624.58, 861.40 and 414.43

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Solution

The fourth proportional to 624.58, 861.40 and 414.43 is: 571.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.58 : 861.40 = 414.43 : x
  2. Step 2: Convert to fraction form
    624.58/861.40 = 414.43/x
  3. Step 3: Cross multiply
    624.58x = 861.40 × 414.43
  4. Step 4: Simplify right side
    624.58x = 356,990.00
  5. Step 5: Solve for x
    x = 356,990.00/624.58
  6. Step 6: Final answer
    x = 571.57

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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.