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Finding the Fourth Proportional to 627.64, 866 and 394.62

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Solution

The fourth proportional to 627.64, 866 and 394.62 is: 544.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.64 : 866 = 394.62 : x
  2. Step 2: Convert to fraction form
    627.64/866 = 394.62/x
  3. Step 3: Cross multiply
    627.64x = 866 × 394.62
  4. Step 4: Simplify right side
    627.64x = 341,740.92
  5. Step 5: Solve for x
    x = 341,740.92/627.64
  6. Step 6: Final answer
    x = 544.49

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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.