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Finding the Fourth Proportional to 905.48, 1,249.26 and 610.91

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Solution

The fourth proportional to 905.48, 1,249.26 and 610.91 is: 842.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.48 : 1,249.26 = 610.91 : x
  2. Step 2: Convert to fraction form
    905.48/1,249.26 = 610.91/x
  3. Step 3: Cross multiply
    905.48x = 1,249.26 × 610.91
  4. Step 4: Simplify right side
    905.48x = 763,185.43
  5. Step 5: Solve for x
    x = 763,185.43/905.48
  6. Step 6: Final answer
    x = 842.85

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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.