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Finding the Fourth Proportional to 447.96, 673.38 and 416.28

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Solution

The fourth proportional to 447.96, 673.38 and 416.28 is: 625.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.96 : 673.38 = 416.28 : x
  2. Step 2: Convert to fraction form
    447.96/673.38 = 416.28/x
  3. Step 3: Cross multiply
    447.96x = 673.38 × 416.28
  4. Step 4: Simplify right side
    447.96x = 280,314.63
  5. Step 5: Solve for x
    x = 280,314.63/447.96
  6. Step 6: Final answer
    x = 625.76

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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.