Home / 1,382.45-2,073.09-408.29

Finding the Fourth Proportional to 1,382.45, 2,073.09 and 408.29

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Solution

The fourth proportional to 1,382.45, 2,073.09 and 408.29 is: 612.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.45 : 2,073.09 = 408.29 : x
  2. Step 2: Convert to fraction form
    1,382.45/2,073.09 = 408.29/x
  3. Step 3: Cross multiply
    1,382.45x = 2,073.09 × 408.29
  4. Step 4: Simplify right side
    1,382.45x = 846,421.92
  5. Step 5: Solve for x
    x = 846,421.92/1,382.45
  6. Step 6: Final answer
    x = 612.26

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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.