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Finding the Fourth Proportional to 852.32, 1,278.92 and 849.69

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Solution

The fourth proportional to 852.32, 1,278.92 and 849.69 is: 1,274.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.32 : 1,278.92 = 849.69 : x
  2. Step 2: Convert to fraction form
    852.32/1,278.92 = 849.69/x
  3. Step 3: Cross multiply
    852.32x = 1,278.92 × 849.69
  4. Step 4: Simplify right side
    852.32x = 1,086,687.66
  5. Step 5: Solve for x
    x = 1,086,687.66/852.32
  6. Step 6: Final answer
    x = 1,274.97

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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.