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Finding the Fourth Proportional to 627.84, 941.72 and 281.21

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Solution

The fourth proportional to 627.84, 941.72 and 281.21 is: 421.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.84 : 941.72 = 281.21 : x
  2. Step 2: Convert to fraction form
    627.84/941.72 = 281.21/x
  3. Step 3: Cross multiply
    627.84x = 941.72 × 281.21
  4. Step 4: Simplify right side
    627.84x = 264,814.97
  5. Step 5: Solve for x
    x = 264,814.97/627.84
  6. Step 6: Final answer
    x = 421.79

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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.