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Finding the Fourth Proportional to 726.76, 1,003.08 and 493.48

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Solution

The fourth proportional to 726.76, 1,003.08 and 493.48 is: 681.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.76 : 1,003.08 = 493.48 : x
  2. Step 2: Convert to fraction form
    726.76/1,003.08 = 493.48/x
  3. Step 3: Cross multiply
    726.76x = 1,003.08 × 493.48
  4. Step 4: Simplify right side
    726.76x = 494,999.92
  5. Step 5: Solve for x
    x = 494,999.92/726.76
  6. Step 6: Final answer
    x = 681.11

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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.