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Finding the Fourth Proportional to 766.63, 1,149.30 and 279.40

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Solution

The fourth proportional to 766.63, 1,149.30 and 279.40 is: 418.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.63 : 1,149.30 = 279.40 : x
  2. Step 2: Convert to fraction form
    766.63/1,149.30 = 279.40/x
  3. Step 3: Cross multiply
    766.63x = 1,149.30 × 279.40
  4. Step 4: Simplify right side
    766.63x = 321,114.42
  5. Step 5: Solve for x
    x = 321,114.42/766.63
  6. Step 6: Final answer
    x = 418.86

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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.