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Finding the Fourth Proportional to 627.18, 941.34 and 298.32

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Solution

The fourth proportional to 627.18, 941.34 and 298.32 is: 447.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.18 : 941.34 = 298.32 : x
  2. Step 2: Convert to fraction form
    627.18/941.34 = 298.32/x
  3. Step 3: Cross multiply
    627.18x = 941.34 × 298.32
  4. Step 4: Simplify right side
    627.18x = 280,818.14
  5. Step 5: Solve for x
    x = 280,818.14/627.18
  6. Step 6: Final answer
    x = 447.75

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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.