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Finding the Fourth Proportional to 781.52, 1,171.33 and 550.06

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Solution

The fourth proportional to 781.52, 1,171.33 and 550.06 is: 824.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.52 : 1,171.33 = 550.06 : x
  2. Step 2: Convert to fraction form
    781.52/1,171.33 = 550.06/x
  3. Step 3: Cross multiply
    781.52x = 1,171.33 × 550.06
  4. Step 4: Simplify right side
    781.52x = 644,297.48
  5. Step 5: Solve for x
    x = 644,297.48/781.52
  6. Step 6: Final answer
    x = 824.42

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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.