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Finding the Fourth Proportional to 781.13, 1,171.70 and 233.27

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Solution

The fourth proportional to 781.13, 1,171.70 and 233.27 is: 349.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.13 : 1,171.70 = 233.27 : x
  2. Step 2: Convert to fraction form
    781.13/1,171.70 = 233.27/x
  3. Step 3: Cross multiply
    781.13x = 1,171.70 × 233.27
  4. Step 4: Simplify right side
    781.13x = 273,324.81
  5. Step 5: Solve for x
    x = 273,324.81/781.13
  6. Step 6: Final answer
    x = 349.91

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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.