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Finding the Fourth Proportional to 981.46, 1,351.12 and 760.34

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Solution

The fourth proportional to 981.46, 1,351.12 and 760.34 is: 1,046.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.46 : 1,351.12 = 760.34 : x
  2. Step 2: Convert to fraction form
    981.46/1,351.12 = 760.34/x
  3. Step 3: Cross multiply
    981.46x = 1,351.12 × 760.34
  4. Step 4: Simplify right side
    981.46x = 1,027,310.58
  5. Step 5: Solve for x
    x = 1,027,310.58/981.46
  6. Step 6: Final answer
    x = 1,046.72

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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.