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Finding the Fourth Proportional to 726.12, 1,002.49 and 477.88

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Solution

The fourth proportional to 726.12, 1,002.49 and 477.88 is: 659.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.12 : 1,002.49 = 477.88 : x
  2. Step 2: Convert to fraction form
    726.12/1,002.49 = 477.88/x
  3. Step 3: Cross multiply
    726.12x = 1,002.49 × 477.88
  4. Step 4: Simplify right side
    726.12x = 479,069.92
  5. Step 5: Solve for x
    x = 479,069.92/726.12
  6. Step 6: Final answer
    x = 659.77

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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.