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Finding the Fourth Proportional to 997.35, 1,375.41 and 624.21

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Solution

The fourth proportional to 997.35, 1,375.41 and 624.21 is: 860.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.35 : 1,375.41 = 624.21 : x
  2. Step 2: Convert to fraction form
    997.35/1,375.41 = 624.21/x
  3. Step 3: Cross multiply
    997.35x = 1,375.41 × 624.21
  4. Step 4: Simplify right side
    997.35x = 858,544.68
  5. Step 5: Solve for x
    x = 858,544.68/997.35
  6. Step 6: Final answer
    x = 860.83

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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.