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Finding the Fourth Proportional to 1,382.31, 2,073.06 and 408.29

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Solution

The fourth proportional to 1,382.31, 2,073.06 and 408.29 is: 612.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.31 : 2,073.06 = 408.29 : x
  2. Step 2: Convert to fraction form
    1,382.31/2,073.06 = 408.29/x
  3. Step 3: Cross multiply
    1,382.31x = 2,073.06 × 408.29
  4. Step 4: Simplify right side
    1,382.31x = 846,399.30
  5. Step 5: Solve for x
    x = 846,399.30/1,382.31
  6. Step 6: Final answer
    x = 612.31

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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.