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Finding the Fourth Proportional to 1,001.21, 1,375.74 and 814.23

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Solution

The fourth proportional to 1,001.21, 1,375.74 and 814.23 is: 1,118.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.21 : 1,375.74 = 814.23 : x
  2. Step 2: Convert to fraction form
    1,001.21/1,375.74 = 814.23/x
  3. Step 3: Cross multiply
    1,001.21x = 1,375.74 × 814.23
  4. Step 4: Simplify right side
    1,001.21x = 1,120,168.78
  5. Step 5: Solve for x
    x = 1,120,168.78/1,001.21
  6. Step 6: Final answer
    x = 1,118.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.