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Finding the Fourth Proportional to 627.52, 866.04 and 365.62

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Solution

The fourth proportional to 627.52, 866.04 and 365.62 is: 504.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.52 : 866.04 = 365.62 : x
  2. Step 2: Convert to fraction form
    627.52/866.04 = 365.62/x
  3. Step 3: Cross multiply
    627.52x = 866.04 × 365.62
  4. Step 4: Simplify right side
    627.52x = 316,639.72
  5. Step 5: Solve for x
    x = 316,639.72/627.52
  6. Step 6: Final answer
    x = 504.59

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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.