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Finding the Fourth Proportional to 726.93, 1,002.11 and 551.97

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Solution

The fourth proportional to 726.93, 1,002.11 and 551.97 is: 760.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.93 : 1,002.11 = 551.97 : x
  2. Step 2: Convert to fraction form
    726.93/1,002.11 = 551.97/x
  3. Step 3: Cross multiply
    726.93x = 1,002.11 × 551.97
  4. Step 4: Simplify right side
    726.93x = 553,131.90
  5. Step 5: Solve for x
    x = 553,131.90/726.93
  6. Step 6: Final answer
    x = 760.91

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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.