Home / 1,382.04-2,073.42-408.15

Finding the Fourth Proportional to 1,382.04, 2,073.42 and 408.15

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Solution

The fourth proportional to 1,382.04, 2,073.42 and 408.15 is: 612.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.04 : 2,073.42 = 408.15 : x
  2. Step 2: Convert to fraction form
    1,382.04/2,073.42 = 408.15/x
  3. Step 3: Cross multiply
    1,382.04x = 2,073.42 × 408.15
  4. Step 4: Simplify right side
    1,382.04x = 846,266.37
  5. Step 5: Solve for x
    x = 846,266.37/1,382.04
  6. Step 6: Final answer
    x = 612.33

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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.