Home / 2,227.30-3,340.96-766.44

Finding the Fourth Proportional to 2,227.30, 3,340.96 and 766.44

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Solution

The fourth proportional to 2,227.30, 3,340.96 and 766.44 is: 1,149.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.30 : 3,340.96 = 766.44 : x
  2. Step 2: Convert to fraction form
    2,227.30/3,340.96 = 766.44/x
  3. Step 3: Cross multiply
    2,227.30x = 3,340.96 × 766.44
  4. Step 4: Simplify right side
    2,227.30x = 2,560,645.38
  5. Step 5: Solve for x
    x = 2,560,645.38/2,227.30
  6. Step 6: Final answer
    x = 1,149.66

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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.