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Finding the Fourth Proportional to 814.13, 1,121.09 and 795.97

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Solution

The fourth proportional to 814.13, 1,121.09 and 795.97 is: 1,096.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.13 : 1,121.09 = 795.97 : x
  2. Step 2: Convert to fraction form
    814.13/1,121.09 = 795.97/x
  3. Step 3: Cross multiply
    814.13x = 1,121.09 × 795.97
  4. Step 4: Simplify right side
    814.13x = 892,350.03
  5. Step 5: Solve for x
    x = 892,350.03/814.13
  6. Step 6: Final answer
    x = 1,096.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.