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Finding the Fourth Proportional to 668.73, 923.10 and 447.60

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Solution

The fourth proportional to 668.73, 923.10 and 447.60 is: 617.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.73 : 923.10 = 447.60 : x
  2. Step 2: Convert to fraction form
    668.73/923.10 = 447.60/x
  3. Step 3: Cross multiply
    668.73x = 923.10 × 447.60
  4. Step 4: Simplify right side
    668.73x = 413,181.24
  5. Step 5: Solve for x
    x = 413,181.24/668.73
  6. Step 6: Final answer
    x = 617.86

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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.