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Finding the Fourth Proportional to 633.28, 949.92 and 344.65

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Solution

The fourth proportional to 633.28, 949.92 and 344.65 is: 516.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.28 : 949.92 = 344.65 : x
  2. Step 2: Convert to fraction form
    633.28/949.92 = 344.65/x
  3. Step 3: Cross multiply
    633.28x = 949.92 × 344.65
  4. Step 4: Simplify right side
    633.28x = 327,389.93
  5. Step 5: Solve for x
    x = 327,389.93/633.28
  6. Step 6: Final answer
    x = 516.98

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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.