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Finding the Fourth Proportional to 981.36, 1,472.46 and 851.48

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Solution

The fourth proportional to 981.36, 1,472.46 and 851.48 is: 1,277.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.36 : 1,472.46 = 851.48 : x
  2. Step 2: Convert to fraction form
    981.36/1,472.46 = 851.48/x
  3. Step 3: Cross multiply
    981.36x = 1,472.46 × 851.48
  4. Step 4: Simplify right side
    981.36x = 1,253,770.24
  5. Step 5: Solve for x
    x = 1,253,770.24/981.36
  6. Step 6: Final answer
    x = 1,277.58

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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.