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Finding the Fourth Proportional to 448.20, 617.62 and 331.56

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Solution

The fourth proportional to 448.20, 617.62 and 331.56 is: 456.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.20 : 617.62 = 331.56 : x
  2. Step 2: Convert to fraction form
    448.20/617.62 = 331.56/x
  3. Step 3: Cross multiply
    448.20x = 617.62 × 331.56
  4. Step 4: Simplify right side
    448.20x = 204,778.09
  5. Step 5: Solve for x
    x = 204,778.09/448.20
  6. Step 6: Final answer
    x = 456.89

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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.