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Finding the Fourth Proportional to 2,002.65, 3,002.26 and 769.20

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Solution

The fourth proportional to 2,002.65, 3,002.26 and 769.20 is: 1,153.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.65 : 3,002.26 = 769.20 : x
  2. Step 2: Convert to fraction form
    2,002.65/3,002.26 = 769.20/x
  3. Step 3: Cross multiply
    2,002.65x = 3,002.26 × 769.20
  4. Step 4: Simplify right side
    2,002.65x = 2,309,338.39
  5. Step 5: Solve for x
    x = 2,309,338.39/2,002.65
  6. Step 6: Final answer
    x = 1,153.14

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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.