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Finding the Fourth Proportional to 1,382.43, 2,072.62 and 457.44

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Solution

The fourth proportional to 1,382.43, 2,072.62 and 457.44 is: 685.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.43 : 2,072.62 = 457.44 : x
  2. Step 2: Convert to fraction form
    1,382.43/2,072.62 = 457.44/x
  3. Step 3: Cross multiply
    1,382.43x = 2,072.62 × 457.44
  4. Step 4: Simplify right side
    1,382.43x = 948,099.29
  5. Step 5: Solve for x
    x = 948,099.29/1,382.43
  6. Step 6: Final answer
    x = 685.82

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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.