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Finding the Fourth Proportional to 448.27, 667.13 and 446.92

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Solution

The fourth proportional to 448.27, 667.13 and 446.92 is: 665.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.27 : 667.13 = 446.92 : x
  2. Step 2: Convert to fraction form
    448.27/667.13 = 446.92/x
  3. Step 3: Cross multiply
    448.27x = 667.13 × 446.92
  4. Step 4: Simplify right side
    448.27x = 298,149.84
  5. Step 5: Solve for x
    x = 298,149.84/448.27
  6. Step 6: Final answer
    x = 665.12

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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.