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Finding the Fourth Proportional to 624.88, 861.72 and 422.62

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Solution

The fourth proportional to 624.88, 861.72 and 422.62 is: 582.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.88 : 861.72 = 422.62 : x
  2. Step 2: Convert to fraction form
    624.88/861.72 = 422.62/x
  3. Step 3: Cross multiply
    624.88x = 861.72 × 422.62
  4. Step 4: Simplify right side
    624.88x = 364,180.11
  5. Step 5: Solve for x
    x = 364,180.11/624.88
  6. Step 6: Final answer
    x = 582.80

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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.