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Finding the Fourth Proportional to 725.68, 1,001.90 and 538.95

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Solution

The fourth proportional to 725.68, 1,001.90 and 538.95 is: 744.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.68 : 1,001.90 = 538.95 : x
  2. Step 2: Convert to fraction form
    725.68/1,001.90 = 538.95/x
  3. Step 3: Cross multiply
    725.68x = 1,001.90 × 538.95
  4. Step 4: Simplify right side
    725.68x = 539,970.06
  5. Step 5: Solve for x
    x = 539,970.06/725.68
  6. Step 6: Final answer
    x = 744.09

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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.