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Finding the Fourth Proportional to 866.39, 1,299.74 and 311.24

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Solution

The fourth proportional to 866.39, 1,299.74 and 311.24 is: 466.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.39 : 1,299.74 = 311.24 : x
  2. Step 2: Convert to fraction form
    866.39/1,299.74 = 311.24/x
  3. Step 3: Cross multiply
    866.39x = 1,299.74 × 311.24
  4. Step 4: Simplify right side
    866.39x = 404,531.08
  5. Step 5: Solve for x
    x = 404,531.08/866.39
  6. Step 6: Final answer
    x = 466.92

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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.