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Finding the Fourth Proportional to 905.20, 1,249.19 and 512.23

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Solution

The fourth proportional to 905.20, 1,249.19 and 512.23 is: 706.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.20 : 1,249.19 = 512.23 : x
  2. Step 2: Convert to fraction form
    905.20/1,249.19 = 512.23/x
  3. Step 3: Cross multiply
    905.20x = 1,249.19 × 512.23
  4. Step 4: Simplify right side
    905.20x = 639,872.59
  5. Step 5: Solve for x
    x = 639,872.59/905.20
  6. Step 6: Final answer
    x = 706.89

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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.