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Finding the Fourth Proportional to 905.65, 1,249.72 and 512.59

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Solution

The fourth proportional to 905.65, 1,249.72 and 512.59 is: 707.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.65 : 1,249.72 = 512.59 : x
  2. Step 2: Convert to fraction form
    905.65/1,249.72 = 512.59/x
  3. Step 3: Cross multiply
    905.65x = 1,249.72 × 512.59
  4. Step 4: Simplify right side
    905.65x = 640,593.97
  5. Step 5: Solve for x
    x = 640,593.97/905.65
  6. Step 6: Final answer
    x = 707.33

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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.