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Finding the Fourth Proportional to 905.31, 1,249.29 and 512.31

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Solution

The fourth proportional to 905.31, 1,249.29 and 512.31 is: 706.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.31 : 1,249.29 = 512.31 : x
  2. Step 2: Convert to fraction form
    905.31/1,249.29 = 512.31/x
  3. Step 3: Cross multiply
    905.31x = 1,249.29 × 512.31
  4. Step 4: Simplify right side
    905.31x = 640,023.76
  5. Step 5: Solve for x
    x = 640,023.76/905.31
  6. Step 6: Final answer
    x = 706.97

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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.