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Finding the Fourth Proportional to 950.20, 1,425.30 and 759.04

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Solution

The fourth proportional to 950.20, 1,425.30 and 759.04 is: 1,138.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.20 : 1,425.30 = 759.04 : x
  2. Step 2: Convert to fraction form
    950.20/1,425.30 = 759.04/x
  3. Step 3: Cross multiply
    950.20x = 1,425.30 × 759.04
  4. Step 4: Simplify right side
    950.20x = 1,081,853.30
  5. Step 5: Solve for x
    x = 1,081,853.30/950.20
  6. Step 6: Final answer
    x = 1,138.56

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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.