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Finding the Fourth Proportional to 892.12, 1,331.15 and 794.68

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Solution

The fourth proportional to 892.12, 1,331.15 and 794.68 is: 1,185.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.12 : 1,331.15 = 794.68 : x
  2. Step 2: Convert to fraction form
    892.12/1,331.15 = 794.68/x
  3. Step 3: Cross multiply
    892.12x = 1,331.15 × 794.68
  4. Step 4: Simplify right side
    892.12x = 1,057,838.28
  5. Step 5: Solve for x
    x = 1,057,838.28/892.12
  6. Step 6: Final answer
    x = 1,185.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.