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Finding the Fourth Proportional to 725.13, 1,001.12 and 559.02

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Solution

The fourth proportional to 725.13, 1,001.12 and 559.02 is: 771.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.13 : 1,001.12 = 559.02 : x
  2. Step 2: Convert to fraction form
    725.13/1,001.12 = 559.02/x
  3. Step 3: Cross multiply
    725.13x = 1,001.12 × 559.02
  4. Step 4: Simplify right side
    725.13x = 559,646.10
  5. Step 5: Solve for x
    x = 559,646.10/725.13
  6. Step 6: Final answer
    x = 771.79

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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.