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Finding the Fourth Proportional to 2,219.80, 3,328.76 and 758.30

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Solution

The fourth proportional to 2,219.80, 3,328.76 and 758.30 is: 1,137.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.80 : 3,328.76 = 758.30 : x
  2. Step 2: Convert to fraction form
    2,219.80/3,328.76 = 758.30/x
  3. Step 3: Cross multiply
    2,219.80x = 3,328.76 × 758.30
  4. Step 4: Simplify right side
    2,219.80x = 2,524,198.71
  5. Step 5: Solve for x
    x = 2,524,198.71/2,219.80
  6. Step 6: Final answer
    x = 1,137.13

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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.