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Finding the Fourth Proportional to 815.13, 1,122.46 and 796.97

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Solution

The fourth proportional to 815.13, 1,122.46 and 796.97 is: 1,097.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.13 : 1,122.46 = 796.97 : x
  2. Step 2: Convert to fraction form
    815.13/1,122.46 = 796.97/x
  3. Step 3: Cross multiply
    815.13x = 1,122.46 × 796.97
  4. Step 4: Simplify right side
    815.13x = 894,566.95
  5. Step 5: Solve for x
    x = 894,566.95/815.13
  6. Step 6: Final answer
    x = 1,097.45

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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.