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Finding the Fourth Proportional to 2,280.80, 3,419.18 and 819.56

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Solution

The fourth proportional to 2,280.80, 3,419.18 and 819.56 is: 1,228.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.80 : 3,419.18 = 819.56 : x
  2. Step 2: Convert to fraction form
    2,280.80/3,419.18 = 819.56/x
  3. Step 3: Cross multiply
    2,280.80x = 3,419.18 × 819.56
  4. Step 4: Simplify right side
    2,280.80x = 2,802,219.06
  5. Step 5: Solve for x
    x = 2,802,219.06/2,280.80
  6. Step 6: Final answer
    x = 1,228.61

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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.