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Finding the Fourth Proportional to 624.07, 861.18 and 344.31

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Solution

The fourth proportional to 624.07, 861.18 and 344.31 is: 475.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.07 : 861.18 = 344.31 : x
  2. Step 2: Convert to fraction form
    624.07/861.18 = 344.31/x
  3. Step 3: Cross multiply
    624.07x = 861.18 × 344.31
  4. Step 4: Simplify right side
    624.07x = 296,508.37
  5. Step 5: Solve for x
    x = 296,508.37/624.07
  6. Step 6: Final answer
    x = 475.12

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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.