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Finding the Fourth Proportional to 627.32, 865.82 and 365.49

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Solution

The fourth proportional to 627.32, 865.82 and 365.49 is: 504.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.32 : 865.82 = 365.49 : x
  2. Step 2: Convert to fraction form
    627.32/865.82 = 365.49/x
  3. Step 3: Cross multiply
    627.32x = 865.82 × 365.49
  4. Step 4: Simplify right side
    627.32x = 316,448.55
  5. Step 5: Solve for x
    x = 316,448.55/627.32
  6. Step 6: Final answer
    x = 504.45

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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.