Home / 1,744.11-2,616.85-769.53

Finding the Fourth Proportional to 1,744.11, 2,616.85 and 769.53

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Solution

The fourth proportional to 1,744.11, 2,616.85 and 769.53 is: 1,154.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.11 : 2,616.85 = 769.53 : x
  2. Step 2: Convert to fraction form
    1,744.11/2,616.85 = 769.53/x
  3. Step 3: Cross multiply
    1,744.11x = 2,616.85 × 769.53
  4. Step 4: Simplify right side
    1,744.11x = 2,013,744.58
  5. Step 5: Solve for x
    x = 2,013,744.58/1,744.11
  6. Step 6: Final answer
    x = 1,154.60

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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.