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Finding the Fourth Proportional to 781.97, 1,171.65 and 550.45

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Solution

The fourth proportional to 781.97, 1,171.65 and 550.45 is: 824.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.97 : 1,171.65 = 550.45 : x
  2. Step 2: Convert to fraction form
    781.97/1,171.65 = 550.45/x
  3. Step 3: Cross multiply
    781.97x = 1,171.65 × 550.45
  4. Step 4: Simplify right side
    781.97x = 644,934.74
  5. Step 5: Solve for x
    x = 644,934.74/781.97
  6. Step 6: Final answer
    x = 824.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.