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Finding the Fourth Proportional to 627.82, 941.83 and 217.01

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Solution

The fourth proportional to 627.82, 941.83 and 217.01 is: 325.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.82 : 941.83 = 217.01 : x
  2. Step 2: Convert to fraction form
    627.82/941.83 = 217.01/x
  3. Step 3: Cross multiply
    627.82x = 941.83 × 217.01
  4. Step 4: Simplify right side
    627.82x = 204,388.34
  5. Step 5: Solve for x
    x = 204,388.34/627.82
  6. Step 6: Final answer
    x = 325.55

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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.