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Finding the Fourth Proportional to 905.82, 1,249.61 and 591.09

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Solution

The fourth proportional to 905.82, 1,249.61 and 591.09 is: 815.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.82 : 1,249.61 = 591.09 : x
  2. Step 2: Convert to fraction form
    905.82/1,249.61 = 591.09/x
  3. Step 3: Cross multiply
    905.82x = 1,249.61 × 591.09
  4. Step 4: Simplify right side
    905.82x = 738,629.02
  5. Step 5: Solve for x
    x = 738,629.02/905.82
  6. Step 6: Final answer
    x = 815.43

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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.