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Finding the Fourth Proportional to 669.28, 923.50 and 374.56

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Solution

The fourth proportional to 669.28, 923.50 and 374.56 is: 516.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.28 : 923.50 = 374.56 : x
  2. Step 2: Convert to fraction form
    669.28/923.50 = 374.56/x
  3. Step 3: Cross multiply
    669.28x = 923.50 × 374.56
  4. Step 4: Simplify right side
    669.28x = 345,906.16
  5. Step 5: Solve for x
    x = 345,906.16/669.28
  6. Step 6: Final answer
    x = 516.83

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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.