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Finding the Fourth Proportional to 725.24, 1,001.30 and 526.73

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Solution

The fourth proportional to 725.24, 1,001.30 and 526.73 is: 727.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.24 : 1,001.30 = 526.73 : x
  2. Step 2: Convert to fraction form
    725.24/1,001.30 = 526.73/x
  3. Step 3: Cross multiply
    725.24x = 1,001.30 × 526.73
  4. Step 4: Simplify right side
    725.24x = 527,414.75
  5. Step 5: Solve for x
    x = 527,414.75/725.24
  6. Step 6: Final answer
    x = 727.23

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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.