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Finding the Fourth Proportional to 447.39, 667.61 and 401.42

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Solution

The fourth proportional to 447.39, 667.61 and 401.42 is: 599.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.39 : 667.61 = 401.42 : x
  2. Step 2: Convert to fraction form
    447.39/667.61 = 401.42/x
  3. Step 3: Cross multiply
    447.39x = 667.61 × 401.42
  4. Step 4: Simplify right side
    447.39x = 267,993.17
  5. Step 5: Solve for x
    x = 267,993.17/447.39
  6. Step 6: Final answer
    x = 599.01

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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.