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Finding the Fourth Proportional to 627.62, 866.15 and 365.68

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Solution

The fourth proportional to 627.62, 866.15 and 365.68 is: 504.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.62 : 866.15 = 365.68 : x
  2. Step 2: Convert to fraction form
    627.62/866.15 = 365.68/x
  3. Step 3: Cross multiply
    627.62x = 866.15 × 365.68
  4. Step 4: Simplify right side
    627.62x = 316,734.36
  5. Step 5: Solve for x
    x = 316,734.36/627.62
  6. Step 6: Final answer
    x = 504.66

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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.