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Finding the Fourth Proportional to 627.82, 866.49 and 365.98

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Solution

The fourth proportional to 627.82, 866.49 and 365.98 is: 505.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.82 : 866.49 = 365.98 : x
  2. Step 2: Convert to fraction form
    627.82/866.49 = 365.98/x
  3. Step 3: Cross multiply
    627.82x = 866.49 × 365.98
  4. Step 4: Simplify right side
    627.82x = 317,118.01
  5. Step 5: Solve for x
    x = 317,118.01/627.82
  6. Step 6: Final answer
    x = 505.11

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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.