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Finding the Fourth Proportional to 627.48, 940.82 and 280.73

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Solution

The fourth proportional to 627.48, 940.82 and 280.73 is: 420.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.48 : 940.82 = 280.73 : x
  2. Step 2: Convert to fraction form
    627.48/940.82 = 280.73/x
  3. Step 3: Cross multiply
    627.48x = 940.82 × 280.73
  4. Step 4: Simplify right side
    627.48x = 264,117.35
  5. Step 5: Solve for x
    x = 264,117.35/627.48
  6. Step 6: Final answer
    x = 420.92

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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.