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Finding the Fourth Proportional to 668.05, 921.87 and 446.97

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Solution

The fourth proportional to 668.05, 921.87 and 446.97 is: 616.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.05 : 921.87 = 446.97 : x
  2. Step 2: Convert to fraction form
    668.05/921.87 = 446.97/x
  3. Step 3: Cross multiply
    668.05x = 921.87 × 446.97
  4. Step 4: Simplify right side
    668.05x = 412,048.23
  5. Step 5: Solve for x
    x = 412,048.23/668.05
  6. Step 6: Final answer
    x = 616.79

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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.