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Finding the Fourth Proportional to 997.41, 1,375.74 and 698.12

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Solution

The fourth proportional to 997.41, 1,375.74 and 698.12 is: 962.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.41 : 1,375.74 = 698.12 : x
  2. Step 2: Convert to fraction form
    997.41/1,375.74 = 698.12/x
  3. Step 3: Cross multiply
    997.41x = 1,375.74 × 698.12
  4. Step 4: Simplify right side
    997.41x = 960,424.73
  5. Step 5: Solve for x
    x = 960,424.73/997.41
  6. Step 6: Final answer
    x = 962.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.