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Finding the Fourth Proportional to 781.82, 1,079.82 and 519.38

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Solution

The fourth proportional to 781.82, 1,079.82 and 519.38 is: 717.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.82 : 1,079.82 = 519.38 : x
  2. Step 2: Convert to fraction form
    781.82/1,079.82 = 519.38/x
  3. Step 3: Cross multiply
    781.82x = 1,079.82 × 519.38
  4. Step 4: Simplify right side
    781.82x = 560,836.91
  5. Step 5: Solve for x
    x = 560,836.91/781.82
  6. Step 6: Final answer
    x = 717.35

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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.