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Finding the Fourth Proportional to 726.33, 1,002.12 and 411.55

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Solution

The fourth proportional to 726.33, 1,002.12 and 411.55 is: 567.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.33 : 1,002.12 = 411.55 : x
  2. Step 2: Convert to fraction form
    726.33/1,002.12 = 411.55/x
  3. Step 3: Cross multiply
    726.33x = 1,002.12 × 411.55
  4. Step 4: Simplify right side
    726.33x = 412,418.95
  5. Step 5: Solve for x
    x = 412,418.95/726.33
  6. Step 6: Final answer
    x = 567.81

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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.