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Finding the Fourth Proportional to 766.40, 1,149.24 and 279.32

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Solution

The fourth proportional to 766.40, 1,149.24 and 279.32 is: 418.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.40 : 1,149.24 = 279.32 : x
  2. Step 2: Convert to fraction form
    766.40/1,149.24 = 279.32/x
  3. Step 3: Cross multiply
    766.40x = 1,149.24 × 279.32
  4. Step 4: Simplify right side
    766.40x = 321,005.72
  5. Step 5: Solve for x
    x = 321,005.72/766.40
  6. Step 6: Final answer
    x = 418.85

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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.