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Finding the Fourth Proportional to 627.83, 941.59 and 262.42

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Solution

The fourth proportional to 627.83, 941.59 and 262.42 is: 393.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.83 : 941.59 = 262.42 : x
  2. Step 2: Convert to fraction form
    627.83/941.59 = 262.42/x
  3. Step 3: Cross multiply
    627.83x = 941.59 × 262.42
  4. Step 4: Simplify right side
    627.83x = 247,092.05
  5. Step 5: Solve for x
    x = 247,092.05/627.83
  6. Step 6: Final answer
    x = 393.57

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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.