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Finding the Fourth Proportional to 726.96, 1,001.64 and 493.68

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Solution

The fourth proportional to 726.96, 1,001.64 and 493.68 is: 680.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.96 : 1,001.64 = 493.68 : x
  2. Step 2: Convert to fraction form
    726.96/1,001.64 = 493.68/x
  3. Step 3: Cross multiply
    726.96x = 1,001.64 × 493.68
  4. Step 4: Simplify right side
    726.96x = 494,489.64
  5. Step 5: Solve for x
    x = 494,489.64/726.96
  6. Step 6: Final answer
    x = 680.22

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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.