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Finding the Fourth Proportional to 448.31, 667.38 and 445.88

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Solution

The fourth proportional to 448.31, 667.38 and 445.88 is: 663.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.31 : 667.38 = 445.88 : x
  2. Step 2: Convert to fraction form
    448.31/667.38 = 445.88/x
  3. Step 3: Cross multiply
    448.31x = 667.38 × 445.88
  4. Step 4: Simplify right side
    448.31x = 297,571.39
  5. Step 5: Solve for x
    x = 297,571.39/448.31
  6. Step 6: Final answer
    x = 663.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.