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Finding the Fourth Proportional to 726.59, 1,002.62 and 411.77

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Solution

The fourth proportional to 726.59, 1,002.62 and 411.77 is: 568.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.59 : 1,002.62 = 411.77 : x
  2. Step 2: Convert to fraction form
    726.59/1,002.62 = 411.77/x
  3. Step 3: Cross multiply
    726.59x = 1,002.62 × 411.77
  4. Step 4: Simplify right side
    726.59x = 412,843.82
  5. Step 5: Solve for x
    x = 412,843.82/726.59
  6. Step 6: Final answer
    x = 568.20

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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.