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Finding the Fourth Proportional to 2,219.85, 3,329.70 and 758.97

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Solution

The fourth proportional to 2,219.85, 3,329.70 and 758.97 is: 1,138.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.85 : 3,329.70 = 758.97 : x
  2. Step 2: Convert to fraction form
    2,219.85/3,329.70 = 758.97/x
  3. Step 3: Cross multiply
    2,219.85x = 3,329.70 × 758.97
  4. Step 4: Simplify right side
    2,219.85x = 2,527,125.76
  5. Step 5: Solve for x
    x = 2,527,125.76/2,219.85
  6. Step 6: Final answer
    x = 1,138.42

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1.5x scale

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.