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Finding the Fourth Proportional to 642.89, 963.92 and 232.02

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Solution

The fourth proportional to 642.89, 963.92 and 232.02 is: 347.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.89 : 963.92 = 232.02 : x
  2. Step 2: Convert to fraction form
    642.89/963.92 = 232.02/x
  3. Step 3: Cross multiply
    642.89x = 963.92 × 232.02
  4. Step 4: Simplify right side
    642.89x = 223,647.56
  5. Step 5: Solve for x
    x = 223,647.56/642.89
  6. Step 6: Final answer
    x = 347.88

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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.