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Finding the Fourth Proportional to 981.40, 1,472.10 and 765.14

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Solution

The fourth proportional to 981.40, 1,472.10 and 765.14 is: 1,147.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.40 : 1,472.10 = 765.14 : x
  2. Step 2: Convert to fraction form
    981.40/1,472.10 = 765.14/x
  3. Step 3: Cross multiply
    981.40x = 1,472.10 × 765.14
  4. Step 4: Simplify right side
    981.40x = 1,126,362.59
  5. Step 5: Solve for x
    x = 1,126,362.59/981.40
  6. Step 6: Final answer
    x = 1,147.71

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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.