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Finding the Fourth Proportional to 815.68, 1,223.71 and 267.86

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Solution

The fourth proportional to 815.68, 1,223.71 and 267.86 is: 401.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.68 : 1,223.71 = 267.86 : x
  2. Step 2: Convert to fraction form
    815.68/1,223.71 = 267.86/x
  3. Step 3: Cross multiply
    815.68x = 1,223.71 × 267.86
  4. Step 4: Simplify right side
    815.68x = 327,785.35
  5. Step 5: Solve for x
    x = 327,785.35/815.68
  6. Step 6: Final answer
    x = 401.86

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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.