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Finding the Fourth Proportional to 981.10, 1,354.79 and 667.53

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Solution

The fourth proportional to 981.10, 1,354.79 and 667.53 is: 921.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.10 : 1,354.79 = 667.53 : x
  2. Step 2: Convert to fraction form
    981.10/1,354.79 = 667.53/x
  3. Step 3: Cross multiply
    981.10x = 1,354.79 × 667.53
  4. Step 4: Simplify right side
    981.10x = 904,359.63
  5. Step 5: Solve for x
    x = 904,359.63/981.10
  6. Step 6: Final answer
    x = 921.78

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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.