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Finding the Fourth Proportional to 666.29, 998.89 and 409.25

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Solution

The fourth proportional to 666.29, 998.89 and 409.25 is: 613.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.29 : 998.89 = 409.25 : x
  2. Step 2: Convert to fraction form
    666.29/998.89 = 409.25/x
  3. Step 3: Cross multiply
    666.29x = 998.89 × 409.25
  4. Step 4: Simplify right side
    666.29x = 408,795.73
  5. Step 5: Solve for x
    x = 408,795.73/666.29
  6. Step 6: Final answer
    x = 613.54

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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.