Home / 1,233.26-1,849.92-411.20

Finding the Fourth Proportional to 1,233.26, 1,849.92 and 411.20

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Solution

The fourth proportional to 1,233.26, 1,849.92 and 411.20 is: 616.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.26 : 1,849.92 = 411.20 : x
  2. Step 2: Convert to fraction form
    1,233.26/1,849.92 = 411.20/x
  3. Step 3: Cross multiply
    1,233.26x = 1,849.92 × 411.20
  4. Step 4: Simplify right side
    1,233.26x = 760,687.10
  5. Step 5: Solve for x
    x = 760,687.10/1,233.26
  6. Step 6: Final answer
    x = 616.81

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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.