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Finding the Fourth Proportional to 667, 999.87 and 505.39

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Solution

The fourth proportional to 667, 999.87 and 505.39 is: 757.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    667 : 999.87 = 505.39 : x
  2. Step 2: Convert to fraction form
    667/999.87 = 505.39/x
  3. Step 3: Cross multiply
    667x = 999.87 × 505.39
  4. Step 4: Simplify right side
    667x = 505,324.30
  5. Step 5: Solve for x
    x = 505,324.30/667
  6. Step 6: Final answer
    x = 757.61

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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.