Home / 2,280.49-3,418.68-819.31

Finding the Fourth Proportional to 2,280.49, 3,418.68 and 819.31

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Solution

The fourth proportional to 2,280.49, 3,418.68 and 819.31 is: 1,228.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.49 : 3,418.68 = 819.31 : x
  2. Step 2: Convert to fraction form
    2,280.49/3,418.68 = 819.31/x
  3. Step 3: Cross multiply
    2,280.49x = 3,418.68 × 819.31
  4. Step 4: Simplify right side
    2,280.49x = 2,800,958.71
  5. Step 5: Solve for x
    x = 2,800,958.71/2,280.49
  6. Step 6: Final answer
    x = 1,228.23

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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.