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Finding the Fourth Proportional to 624.32, 861.91 and 438.38

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Solution

The fourth proportional to 624.32, 861.91 and 438.38 is: 605.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.32 : 861.91 = 438.38 : x
  2. Step 2: Convert to fraction form
    624.32/861.91 = 438.38/x
  3. Step 3: Cross multiply
    624.32x = 861.91 × 438.38
  4. Step 4: Simplify right side
    624.32x = 377,844.11
  5. Step 5: Solve for x
    x = 377,844.11/624.32
  6. Step 6: Final answer
    x = 605.21

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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.