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Finding the Fourth Proportional to 666.17, 999.90 and 324.41

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Solution

The fourth proportional to 666.17, 999.90 and 324.41 is: 486.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.17 : 999.90 = 324.41 : x
  2. Step 2: Convert to fraction form
    666.17/999.90 = 324.41/x
  3. Step 3: Cross multiply
    666.17x = 999.90 × 324.41
  4. Step 4: Simplify right side
    666.17x = 324,375.94
  5. Step 5: Solve for x
    x = 324,375.94/666.17
  6. Step 6: Final answer
    x = 486.93

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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.