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Finding the Fourth Proportional to 725.80, 1,001.70 and 493

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Solution

The fourth proportional to 725.80, 1,001.70 and 493 is: 680.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.80 : 1,001.70 = 493 : x
  2. Step 2: Convert to fraction form
    725.80/1,001.70 = 493/x
  3. Step 3: Cross multiply
    725.80x = 1,001.70 × 493
  4. Step 4: Simplify right side
    725.80x = 493,838.10
  5. Step 5: Solve for x
    x = 493,838.10/725.80
  6. Step 6: Final answer
    x = 680.41

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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.