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Finding the Fourth Proportional to 667.23, 919.42 and 516.94

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Solution

The fourth proportional to 667.23, 919.42 and 516.94 is: 712.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.23 : 919.42 = 516.94 : x
  2. Step 2: Convert to fraction form
    667.23/919.42 = 516.94/x
  3. Step 3: Cross multiply
    667.23x = 919.42 × 516.94
  4. Step 4: Simplify right side
    667.23x = 475,284.97
  5. Step 5: Solve for x
    x = 475,284.97/667.23
  6. Step 6: Final answer
    x = 712.33

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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.