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Finding the Fourth Proportional to 668.35, 921.84 and 447.31

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Solution

The fourth proportional to 668.35, 921.84 and 447.31 is: 616.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.35 : 921.84 = 447.31 : x
  2. Step 2: Convert to fraction form
    668.35/921.84 = 447.31/x
  3. Step 3: Cross multiply
    668.35x = 921.84 × 447.31
  4. Step 4: Simplify right side
    668.35x = 412,348.25
  5. Step 5: Solve for x
    x = 412,348.25/668.35
  6. Step 6: Final answer
    x = 616.96

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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.