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Finding the Fourth Proportional to 906.05, 1,249.32 and 743.88

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Solution

The fourth proportional to 906.05, 1,249.32 and 743.88 is: 1,025.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.05 : 1,249.32 = 743.88 : x
  2. Step 2: Convert to fraction form
    906.05/1,249.32 = 743.88/x
  3. Step 3: Cross multiply
    906.05x = 1,249.32 × 743.88
  4. Step 4: Simplify right side
    906.05x = 929,351.64
  5. Step 5: Solve for x
    x = 929,351.64/906.05
  6. Step 6: Final answer
    x = 1,025.71

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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.