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Finding the Fourth Proportional to 624.57, 861.96 and 344.84

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Solution

The fourth proportional to 624.57, 861.96 and 344.84 is: 475.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.57 : 861.96 = 344.84 : x
  2. Step 2: Convert to fraction form
    624.57/861.96 = 344.84/x
  3. Step 3: Cross multiply
    624.57x = 861.96 × 344.84
  4. Step 4: Simplify right side
    624.57x = 297,233.98
  5. Step 5: Solve for x
    x = 297,233.98/624.57
  6. Step 6: Final answer
    x = 475.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.