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Finding the Fourth Proportional to 446.46, 673.03 and 416.73

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Solution

The fourth proportional to 446.46, 673.03 and 416.73 is: 628.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.46 : 673.03 = 416.73 : x
  2. Step 2: Convert to fraction form
    446.46/673.03 = 416.73/x
  3. Step 3: Cross multiply
    446.46x = 673.03 × 416.73
  4. Step 4: Simplify right side
    446.46x = 280,471.79
  5. Step 5: Solve for x
    x = 280,471.79/446.46
  6. Step 6: Final answer
    x = 628.21

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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.