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Finding the Fourth Proportional to 981.25, 1,353.41 and 682.49

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Solution

The fourth proportional to 981.25, 1,353.41 and 682.49 is: 941.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.25 : 1,353.41 = 682.49 : x
  2. Step 2: Convert to fraction form
    981.25/1,353.41 = 682.49/x
  3. Step 3: Cross multiply
    981.25x = 1,353.41 × 682.49
  4. Step 4: Simplify right side
    981.25x = 923,691.32
  5. Step 5: Solve for x
    x = 923,691.32/981.25
  6. Step 6: Final answer
    x = 941.34

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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.