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Finding the Fourth Proportional to 781.85, 1,078.59 and 519.41

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Solution

The fourth proportional to 781.85, 1,078.59 and 519.41 is: 716.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.85 : 1,078.59 = 519.41 : x
  2. Step 2: Convert to fraction form
    781.85/1,078.59 = 519.41/x
  3. Step 3: Cross multiply
    781.85x = 1,078.59 × 519.41
  4. Step 4: Simplify right side
    781.85x = 560,230.43
  5. Step 5: Solve for x
    x = 560,230.43/781.85
  6. Step 6: Final answer
    x = 716.54

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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.