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Finding the Fourth Proportional to 447.73, 618.77 and 337.16

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Solution

The fourth proportional to 447.73, 618.77 and 337.16 is: 465.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.73 : 618.77 = 337.16 : x
  2. Step 2: Convert to fraction form
    447.73/618.77 = 337.16/x
  3. Step 3: Cross multiply
    447.73x = 618.77 × 337.16
  4. Step 4: Simplify right side
    447.73x = 208,626.88
  5. Step 5: Solve for x
    x = 208,626.88/447.73
  6. Step 6: Final answer
    x = 465.97

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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.