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Finding the Fourth Proportional to 1,382.44, 2,071.26 and 731.20

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Solution

The fourth proportional to 1,382.44, 2,071.26 and 731.20 is: 1,095.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.44 : 2,071.26 = 731.20 : x
  2. Step 2: Convert to fraction form
    1,382.44/2,071.26 = 731.20/x
  3. Step 3: Cross multiply
    1,382.44x = 2,071.26 × 731.20
  4. Step 4: Simplify right side
    1,382.44x = 1,514,505.31
  5. Step 5: Solve for x
    x = 1,514,505.31/1,382.44
  6. Step 6: Final answer
    x = 1,095.53

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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.