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Finding the Fourth Proportional to 667.46, 999.94 and 392.73

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Solution

The fourth proportional to 667.46, 999.94 and 392.73 is: 588.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.46 : 999.94 = 392.73 : x
  2. Step 2: Convert to fraction form
    667.46/999.94 = 392.73/x
  3. Step 3: Cross multiply
    667.46x = 999.94 × 392.73
  4. Step 4: Simplify right side
    667.46x = 392,706.44
  5. Step 5: Solve for x
    x = 392,706.44/667.46
  6. Step 6: Final answer
    x = 588.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.