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Finding the Fourth Proportional to 641.49, 963.83 and 410.49

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Solution

The fourth proportional to 641.49, 963.83 and 410.49 is: 616.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.49 : 963.83 = 410.49 : x
  2. Step 2: Convert to fraction form
    641.49/963.83 = 410.49/x
  3. Step 3: Cross multiply
    641.49x = 963.83 × 410.49
  4. Step 4: Simplify right side
    641.49x = 395,642.58
  5. Step 5: Solve for x
    x = 395,642.58/641.49
  6. Step 6: Final answer
    x = 616.76

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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.