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Finding the Fourth Proportional to 1,227.24, 1,691.67 and 833.58

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Solution

The fourth proportional to 1,227.24, 1,691.67 and 833.58 is: 1,149.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.24 : 1,691.67 = 833.58 : x
  2. Step 2: Convert to fraction form
    1,227.24/1,691.67 = 833.58/x
  3. Step 3: Cross multiply
    1,227.24x = 1,691.67 × 833.58
  4. Step 4: Simplify right side
    1,227.24x = 1,410,142.28
  5. Step 5: Solve for x
    x = 1,410,142.28/1,227.24
  6. Step 6: Final answer
    x = 1,149.04

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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.