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Finding the Fourth Proportional to 963.44, 1,329.61 and 726.97

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Solution

The fourth proportional to 963.44, 1,329.61 and 726.97 is: 1,003.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.44 : 1,329.61 = 726.97 : x
  2. Step 2: Convert to fraction form
    963.44/1,329.61 = 726.97/x
  3. Step 3: Cross multiply
    963.44x = 1,329.61 × 726.97
  4. Step 4: Simplify right side
    963.44x = 966,581.44
  5. Step 5: Solve for x
    x = 966,581.44/963.44
  6. Step 6: Final answer
    x = 1,003.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.