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Finding the Fourth Proportional to 726.30, 1,002.39 and 493.50

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Solution

The fourth proportional to 726.30, 1,002.39 and 493.50 is: 681.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.30 : 1,002.39 = 493.50 : x
  2. Step 2: Convert to fraction form
    726.30/1,002.39 = 493.50/x
  3. Step 3: Cross multiply
    726.30x = 1,002.39 × 493.50
  4. Step 4: Simplify right side
    726.30x = 494,679.47
  5. Step 5: Solve for x
    x = 494,679.47/726.30
  6. Step 6: Final answer
    x = 681.10

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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.