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Finding the Fourth Proportional to 624.49, 861.80 and 344.74

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Solution

The fourth proportional to 624.49, 861.80 and 344.74 is: 475.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.49 : 861.80 = 344.74 : x
  2. Step 2: Convert to fraction form
    624.49/861.80 = 344.74/x
  3. Step 3: Cross multiply
    624.49x = 861.80 × 344.74
  4. Step 4: Simplify right side
    624.49x = 297,096.93
  5. Step 5: Solve for x
    x = 297,096.93/624.49
  6. Step 6: Final answer
    x = 475.74

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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.