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Finding the Fourth Proportional to 974.44, 1,462.80 and 769.15

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Solution

The fourth proportional to 974.44, 1,462.80 and 769.15 is: 1,154.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.44 : 1,462.80 = 769.15 : x
  2. Step 2: Convert to fraction form
    974.44/1,462.80 = 769.15/x
  3. Step 3: Cross multiply
    974.44x = 1,462.80 × 769.15
  4. Step 4: Simplify right side
    974.44x = 1,125,105.31
  5. Step 5: Solve for x
    x = 1,125,105.31/974.44
  6. Step 6: Final answer
    x = 1,154.62

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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.