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Finding the Fourth Proportional to 766.31, 1,149.72 and 279.41

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Solution

The fourth proportional to 766.31, 1,149.72 and 279.41 is: 419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.31 : 1,149.72 = 279.41 : x
  2. Step 2: Convert to fraction form
    766.31/1,149.72 = 279.41/x
  3. Step 3: Cross multiply
    766.31x = 1,149.72 × 279.41
  4. Step 4: Simplify right side
    766.31x = 321,237.52
  5. Step 5: Solve for x
    x = 321,237.52/766.31
  6. Step 6: Final answer
    x = 419.20

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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.