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Finding the Fourth Proportional to 905.20, 1,248.84 and 668.56

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Solution

The fourth proportional to 905.20, 1,248.84 and 668.56 is: 922.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.20 : 1,248.84 = 668.56 : x
  2. Step 2: Convert to fraction form
    905.20/1,248.84 = 668.56/x
  3. Step 3: Cross multiply
    905.20x = 1,248.84 × 668.56
  4. Step 4: Simplify right side
    905.20x = 834,924.47
  5. Step 5: Solve for x
    x = 834,924.47/905.20
  6. Step 6: Final answer
    x = 922.36

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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.