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Finding the Fourth Proportional to 627.67, 866.21 and 378.94

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Solution

The fourth proportional to 627.67, 866.21 and 378.94 is: 522.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.67 : 866.21 = 378.94 : x
  2. Step 2: Convert to fraction form
    627.67/866.21 = 378.94/x
  3. Step 3: Cross multiply
    627.67x = 866.21 × 378.94
  4. Step 4: Simplify right side
    627.67x = 328,243.78
  5. Step 5: Solve for x
    x = 328,243.78/627.67
  6. Step 6: Final answer
    x = 522.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.