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Finding the Fourth Proportional to 681.90, 1,022.85 and 311.94

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Solution

The fourth proportional to 681.90, 1,022.85 and 311.94 is: 467.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.90 : 1,022.85 = 311.94 : x
  2. Step 2: Convert to fraction form
    681.90/1,022.85 = 311.94/x
  3. Step 3: Cross multiply
    681.90x = 1,022.85 × 311.94
  4. Step 4: Simplify right side
    681.90x = 319,067.83
  5. Step 5: Solve for x
    x = 319,067.83/681.90
  6. Step 6: Final answer
    x = 467.91

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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.