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Finding the Fourth Proportional to 642.35, 963.17 and 437.20

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Solution

The fourth proportional to 642.35, 963.17 and 437.20 is: 655.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.35 : 963.17 = 437.20 : x
  2. Step 2: Convert to fraction form
    642.35/963.17 = 437.20/x
  3. Step 3: Cross multiply
    642.35x = 963.17 × 437.20
  4. Step 4: Simplify right side
    642.35x = 421,094.97
  5. Step 5: Solve for x
    x = 421,094.97/642.35
  6. Step 6: Final answer
    x = 655.55

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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.