Home / 1,382.24-2,073.72-408.34

Finding the Fourth Proportional to 1,382.24, 2,073.72 and 408.34

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Solution

The fourth proportional to 1,382.24, 2,073.72 and 408.34 is: 612.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.24 : 2,073.72 = 408.34 : x
  2. Step 2: Convert to fraction form
    1,382.24/2,073.72 = 408.34/x
  3. Step 3: Cross multiply
    1,382.24x = 2,073.72 × 408.34
  4. Step 4: Simplify right side
    1,382.24x = 846,786.95
  5. Step 5: Solve for x
    x = 846,786.95/1,382.24
  6. Step 6: Final answer
    x = 612.62

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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.