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Finding the Fourth Proportional to 2,219.42, 3,329.67 and 758.66

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Solution

The fourth proportional to 2,219.42, 3,329.67 and 758.66 is: 1,138.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.42 : 3,329.67 = 758.66 : x
  2. Step 2: Convert to fraction form
    2,219.42/3,329.67 = 758.66/x
  3. Step 3: Cross multiply
    2,219.42x = 3,329.67 × 758.66
  4. Step 4: Simplify right side
    2,219.42x = 2,526,087.44
  5. Step 5: Solve for x
    x = 2,526,087.44/2,219.42
  6. Step 6: Final answer
    x = 1,138.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.