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Finding the Fourth Proportional to 447.28, 673.34 and 407.60

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Solution

The fourth proportional to 447.28, 673.34 and 407.60 is: 613.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.28 : 673.34 = 407.60 : x
  2. Step 2: Convert to fraction form
    447.28/673.34 = 407.60/x
  3. Step 3: Cross multiply
    447.28x = 673.34 × 407.60
  4. Step 4: Simplify right side
    447.28x = 274,453.38
  5. Step 5: Solve for x
    x = 274,453.38/447.28
  6. Step 6: Final answer
    x = 613.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.