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Finding the Fourth Proportional to 642.54, 963.98 and 252.55

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Solution

The fourth proportional to 642.54, 963.98 and 252.55 is: 378.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.54 : 963.98 = 252.55 : x
  2. Step 2: Convert to fraction form
    642.54/963.98 = 252.55/x
  3. Step 3: Cross multiply
    642.54x = 963.98 × 252.55
  4. Step 4: Simplify right side
    642.54x = 243,453.15
  5. Step 5: Solve for x
    x = 243,453.15/642.54
  6. Step 6: Final answer
    x = 378.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.