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Finding the Fourth Proportional to 726.74, 1,002.51 and 447.11

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Solution

The fourth proportional to 726.74, 1,002.51 and 447.11 is: 616.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.74 : 1,002.51 = 447.11 : x
  2. Step 2: Convert to fraction form
    726.74/1,002.51 = 447.11/x
  3. Step 3: Cross multiply
    726.74x = 1,002.51 × 447.11
  4. Step 4: Simplify right side
    726.74x = 448,227.23
  5. Step 5: Solve for x
    x = 448,227.23/726.74
  6. Step 6: Final answer
    x = 616.77

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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.