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Finding the Fourth Proportional to 905.26, 1,249.13 and 506.83

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Solution

The fourth proportional to 905.26, 1,249.13 and 506.83 is: 699.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.26 : 1,249.13 = 506.83 : x
  2. Step 2: Convert to fraction form
    905.26/1,249.13 = 506.83/x
  3. Step 3: Cross multiply
    905.26x = 1,249.13 × 506.83
  4. Step 4: Simplify right side
    905.26x = 633,087.78
  5. Step 5: Solve for x
    x = 633,087.78/905.26
  6. Step 6: Final answer
    x = 699.35

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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.