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Finding the Fourth Proportional to 627.75, 942.69 and 408.75

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Solution

The fourth proportional to 627.75, 942.69 and 408.75 is: 613.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.75 : 942.69 = 408.75 : x
  2. Step 2: Convert to fraction form
    627.75/942.69 = 408.75/x
  3. Step 3: Cross multiply
    627.75x = 942.69 × 408.75
  4. Step 4: Simplify right side
    627.75x = 385,320.24
  5. Step 5: Solve for x
    x = 385,320.24/627.75
  6. Step 6: Final answer
    x = 613.81

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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.