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Finding the Fourth Proportional to 725.83, 1,001.69 and 411.13

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Solution

The fourth proportional to 725.83, 1,001.69 and 411.13 is: 567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.83 : 1,001.69 = 411.13 : x
  2. Step 2: Convert to fraction form
    725.83/1,001.69 = 411.13/x
  3. Step 3: Cross multiply
    725.83x = 1,001.69 × 411.13
  4. Step 4: Simplify right side
    725.83x = 411,819.91
  5. Step 5: Solve for x
    x = 411,819.91/725.83
  6. Step 6: Final answer
    x = 567.38

Related Problems

Find fourth proportional to 362.91, 500.84 and 205.56
Half scale
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Double scale
Find fourth proportional to 726.83, 1,003.07 and 412.13
Similar ratio
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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.