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Finding the Fourth Proportional to 624.55, 861.86 and 344.78

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Solution

The fourth proportional to 624.55, 861.86 and 344.78 is: 475.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.55 : 861.86 = 344.78 : x
  2. Step 2: Convert to fraction form
    624.55/861.86 = 344.78/x
  3. Step 3: Cross multiply
    624.55x = 861.86 × 344.78
  4. Step 4: Simplify right side
    624.55x = 297,146.06
  5. Step 5: Solve for x
    x = 297,146.06/624.55
  6. Step 6: Final answer
    x = 475.78

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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.