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Finding the Fourth Proportional to 905.60, 1,249.78 and 512.64

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Solution

The fourth proportional to 905.60, 1,249.78 and 512.64 is: 707.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.60 : 1,249.78 = 512.64 : x
  2. Step 2: Convert to fraction form
    905.60/1,249.78 = 512.64/x
  3. Step 3: Cross multiply
    905.60x = 1,249.78 × 512.64
  4. Step 4: Simplify right side
    905.60x = 640,687.22
  5. Step 5: Solve for x
    x = 640,687.22/905.60
  6. Step 6: Final answer
    x = 707.47

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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.