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Finding the Fourth Proportional to 627.65, 866.38 and 365.89

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Solution

The fourth proportional to 627.65, 866.38 and 365.89 is: 505.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.65 : 866.38 = 365.89 : x
  2. Step 2: Convert to fraction form
    627.65/866.38 = 365.89/x
  3. Step 3: Cross multiply
    627.65x = 866.38 × 365.89
  4. Step 4: Simplify right side
    627.65x = 316,996.70
  5. Step 5: Solve for x
    x = 316,996.70/627.65
  6. Step 6: Final answer
    x = 505.05

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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.