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Finding the Fourth Proportional to 981.40, 1,472.38 and 798.34

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Solution

The fourth proportional to 981.40, 1,472.38 and 798.34 is: 1,197.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.40 : 1,472.38 = 798.34 : x
  2. Step 2: Convert to fraction form
    981.40/1,472.38 = 798.34/x
  3. Step 3: Cross multiply
    981.40x = 1,472.38 × 798.34
  4. Step 4: Simplify right side
    981.40x = 1,175,459.85
  5. Step 5: Solve for x
    x = 1,175,459.85/981.40
  6. Step 6: Final answer
    x = 1,197.74

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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.