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Finding the Fourth Proportional to 443.28, 667.86 and 401.64

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Solution

The fourth proportional to 443.28, 667.86 and 401.64 is: 605.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.28 : 667.86 = 401.64 : x
  2. Step 2: Convert to fraction form
    443.28/667.86 = 401.64/x
  3. Step 3: Cross multiply
    443.28x = 667.86 × 401.64
  4. Step 4: Simplify right side
    443.28x = 268,239.29
  5. Step 5: Solve for x
    x = 268,239.29/443.28
  6. Step 6: Final answer
    x = 605.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.