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Finding the Fourth Proportional to 627.31, 941.52 and 298.65

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Solution

The fourth proportional to 627.31, 941.52 and 298.65 is: 448.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.31 : 941.52 = 298.65 : x
  2. Step 2: Convert to fraction form
    627.31/941.52 = 298.65/x
  3. Step 3: Cross multiply
    627.31x = 941.52 × 298.65
  4. Step 4: Simplify right side
    627.31x = 281,183.45
  5. Step 5: Solve for x
    x = 281,183.45/627.31
  6. Step 6: Final answer
    x = 448.24

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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.