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Finding the Fourth Proportional to 725.80, 1,001.82 and 578.38

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Solution

The fourth proportional to 725.80, 1,001.82 and 578.38 is: 798.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.80 : 1,001.82 = 578.38 : x
  2. Step 2: Convert to fraction form
    725.80/1,001.82 = 578.38/x
  3. Step 3: Cross multiply
    725.80x = 1,001.82 × 578.38
  4. Step 4: Simplify right side
    725.80x = 579,432.65
  5. Step 5: Solve for x
    x = 579,432.65/725.80
  6. Step 6: Final answer
    x = 798.34

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Double scale
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1.5x scale

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.