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Finding the Fourth Proportional to 681.39, 1,022.21 and 311.22

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Solution

The fourth proportional to 681.39, 1,022.21 and 311.22 is: 466.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.39 : 1,022.21 = 311.22 : x
  2. Step 2: Convert to fraction form
    681.39/1,022.21 = 311.22/x
  3. Step 3: Cross multiply
    681.39x = 1,022.21 × 311.22
  4. Step 4: Simplify right side
    681.39x = 318,133.56
  5. Step 5: Solve for x
    x = 318,133.56/681.39
  6. Step 6: Final answer
    x = 466.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.