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Finding the Fourth Proportional to 627.87, 866.22 and 362.23

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Solution

The fourth proportional to 627.87, 866.22 and 362.23 is: 499.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.87 : 866.22 = 362.23 : x
  2. Step 2: Convert to fraction form
    627.87/866.22 = 362.23/x
  3. Step 3: Cross multiply
    627.87x = 866.22 × 362.23
  4. Step 4: Simplify right side
    627.87x = 313,770.87
  5. Step 5: Solve for x
    x = 313,770.87/627.87
  6. Step 6: Final answer
    x = 499.74

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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.