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Finding the Fourth Proportional to 448.28, 668.41 and 447.67

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Solution

The fourth proportional to 448.28, 668.41 and 447.67 is: 667.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.28 : 668.41 = 447.67 : x
  2. Step 2: Convert to fraction form
    448.28/668.41 = 447.67/x
  3. Step 3: Cross multiply
    448.28x = 668.41 × 447.67
  4. Step 4: Simplify right side
    448.28x = 299,227.10
  5. Step 5: Solve for x
    x = 299,227.10/448.28
  6. Step 6: Final answer
    x = 667.50

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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.