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Finding the Fourth Proportional to 2,960.96, 4,441.44 and 769.70

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Solution

The fourth proportional to 2,960.96, 4,441.44 and 769.70 is: 1,154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.96 : 4,441.44 = 769.70 : x
  2. Step 2: Convert to fraction form
    2,960.96/4,441.44 = 769.70/x
  3. Step 3: Cross multiply
    2,960.96x = 4,441.44 × 769.70
  4. Step 4: Simplify right side
    2,960.96x = 3,418,554.16
  5. Step 5: Solve for x
    x = 3,418,554.16/2,960.96
  6. Step 6: Final answer
    x = 1,154.54

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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.