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Finding the Fourth Proportional to 627.89, 942.44 and 262.78

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Solution

The fourth proportional to 627.89, 942.44 and 262.78 is: 394.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.89 : 942.44 = 262.78 : x
  2. Step 2: Convert to fraction form
    627.89/942.44 = 262.78/x
  3. Step 3: Cross multiply
    627.89x = 942.44 × 262.78
  4. Step 4: Simplify right side
    627.89x = 247,650.71
  5. Step 5: Solve for x
    x = 247,650.71/627.89
  6. Step 6: Final answer
    x = 394.42

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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.