Home / 1,422.80-2,134.46-449.18

Finding the Fourth Proportional to 1,422.80, 2,134.46 and 449.18

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Solution

The fourth proportional to 1,422.80, 2,134.46 and 449.18 is: 673.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.80 : 2,134.46 = 449.18 : x
  2. Step 2: Convert to fraction form
    1,422.80/2,134.46 = 449.18/x
  3. Step 3: Cross multiply
    1,422.80x = 2,134.46 × 449.18
  4. Step 4: Simplify right side
    1,422.80x = 958,747.19
  5. Step 5: Solve for x
    x = 958,747.19/1,422.80
  6. Step 6: Final answer
    x = 673.85

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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.