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Finding the Fourth Proportional to 642.72, 963.12 and 353.76

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Solution

The fourth proportional to 642.72, 963.12 and 353.76 is: 530.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.72 : 963.12 = 353.76 : x
  2. Step 2: Convert to fraction form
    642.72/963.12 = 353.76/x
  3. Step 3: Cross multiply
    642.72x = 963.12 × 353.76
  4. Step 4: Simplify right side
    642.72x = 340,713.33
  5. Step 5: Solve for x
    x = 340,713.33/642.72
  6. Step 6: Final answer
    x = 530.11

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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.