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Finding the Fourth Proportional to 766.67, 1,149.26 and 279.38

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Solution

The fourth proportional to 766.67, 1,149.26 and 279.38 is: 418.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.67 : 1,149.26 = 279.38 : x
  2. Step 2: Convert to fraction form
    766.67/1,149.26 = 279.38/x
  3. Step 3: Cross multiply
    766.67x = 1,149.26 × 279.38
  4. Step 4: Simplify right side
    766.67x = 321,081.74
  5. Step 5: Solve for x
    x = 321,081.74/766.67
  6. Step 6: Final answer
    x = 418.80

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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.