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Finding the Fourth Proportional to 781.22, 1,077.84 and 519.28

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Solution

The fourth proportional to 781.22, 1,077.84 and 519.28 is: 716.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.22 : 1,077.84 = 519.28 : x
  2. Step 2: Convert to fraction form
    781.22/1,077.84 = 519.28/x
  3. Step 3: Cross multiply
    781.22x = 1,077.84 × 519.28
  4. Step 4: Simplify right side
    781.22x = 559,700.76
  5. Step 5: Solve for x
    x = 559,700.76/781.22
  6. Step 6: Final answer
    x = 716.44

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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.