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Finding the Fourth Proportional to 641.24, 963.45 and 410.23

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Solution

The fourth proportional to 641.24, 963.45 and 410.23 is: 616.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.24 : 963.45 = 410.23 : x
  2. Step 2: Convert to fraction form
    641.24/963.45 = 410.23/x
  3. Step 3: Cross multiply
    641.24x = 963.45 × 410.23
  4. Step 4: Simplify right side
    641.24x = 395,233.68
  5. Step 5: Solve for x
    x = 395,233.68/641.24
  6. Step 6: Final answer
    x = 616.36

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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.