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Finding the Fourth Proportional to 626.96, 940.52 and 280.44

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Solution

The fourth proportional to 626.96, 940.52 and 280.44 is: 420.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.96 : 940.52 = 280.44 : x
  2. Step 2: Convert to fraction form
    626.96/940.52 = 280.44/x
  3. Step 3: Cross multiply
    626.96x = 940.52 × 280.44
  4. Step 4: Simplify right side
    626.96x = 263,759.43
  5. Step 5: Solve for x
    x = 263,759.43/626.96
  6. Step 6: Final answer
    x = 420.70

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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.