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Finding the Fourth Proportional to 624.52, 861.83 and 344.75

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Solution

The fourth proportional to 624.52, 861.83 and 344.75 is: 475.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.52 : 861.83 = 344.75 : x
  2. Step 2: Convert to fraction form
    624.52/861.83 = 344.75/x
  3. Step 3: Cross multiply
    624.52x = 861.83 × 344.75
  4. Step 4: Simplify right side
    624.52x = 297,115.89
  5. Step 5: Solve for x
    x = 297,115.89/624.52
  6. Step 6: Final answer
    x = 475.75

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Half scale
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Double scale
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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.