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Finding the Fourth Proportional to 781.56, 1,078.83 and 519.66

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Solution

The fourth proportional to 781.56, 1,078.83 and 519.66 is: 717.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.56 : 1,078.83 = 519.66 : x
  2. Step 2: Convert to fraction form
    781.56/1,078.83 = 519.66/x
  3. Step 3: Cross multiply
    781.56x = 1,078.83 × 519.66
  4. Step 4: Simplify right side
    781.56x = 560,624.80
  5. Step 5: Solve for x
    x = 560,624.80/781.56
  6. Step 6: Final answer
    x = 717.32

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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.