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Finding the Fourth Proportional to 726.50, 1,003.40 and 493.22

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Solution

The fourth proportional to 726.50, 1,003.40 and 493.22 is: 681.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.50 : 1,003.40 = 493.22 : x
  2. Step 2: Convert to fraction form
    726.50/1,003.40 = 493.22/x
  3. Step 3: Cross multiply
    726.50x = 1,003.40 × 493.22
  4. Step 4: Simplify right side
    726.50x = 494,896.95
  5. Step 5: Solve for x
    x = 494,896.95/726.50
  6. Step 6: Final answer
    x = 681.21

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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.