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Finding the Fourth Proportional to 641.98, 963.17 and 488.08

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Solution

The fourth proportional to 641.98, 963.17 and 488.08 is: 732.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.98 : 963.17 = 488.08 : x
  2. Step 2: Convert to fraction form
    641.98/963.17 = 488.08/x
  3. Step 3: Cross multiply
    641.98x = 963.17 × 488.08
  4. Step 4: Simplify right side
    641.98x = 470,104.01
  5. Step 5: Solve for x
    x = 470,104.01/641.98
  6. Step 6: Final answer
    x = 732.27

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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.