Home / 1,344.29-2,016.44-419.88

Finding the Fourth Proportional to 1,344.29, 2,016.44 and 419.88

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Solution

The fourth proportional to 1,344.29, 2,016.44 and 419.88 is: 629.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.29 : 2,016.44 = 419.88 : x
  2. Step 2: Convert to fraction form
    1,344.29/2,016.44 = 419.88/x
  3. Step 3: Cross multiply
    1,344.29x = 2,016.44 × 419.88
  4. Step 4: Simplify right side
    1,344.29x = 846,660.73
  5. Step 5: Solve for x
    x = 846,660.73/1,344.29
  6. Step 6: Final answer
    x = 629.82

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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.