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Finding the Fourth Proportional to 905.22, 1,249.26 and 512.31

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Solution

The fourth proportional to 905.22, 1,249.26 and 512.31 is: 707.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.22 : 1,249.26 = 512.31 : x
  2. Step 2: Convert to fraction form
    905.22/1,249.26 = 512.31/x
  3. Step 3: Cross multiply
    905.22x = 1,249.26 × 512.31
  4. Step 4: Simplify right side
    905.22x = 640,008.39
  5. Step 5: Solve for x
    x = 640,008.39/905.22
  6. Step 6: Final answer
    x = 707.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.