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Finding the Fourth Proportional to 627.42, 865.89 and 365.46

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Solution

The fourth proportional to 627.42, 865.89 and 365.46 is: 504.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.42 : 865.89 = 365.46 : x
  2. Step 2: Convert to fraction form
    627.42/865.89 = 365.46/x
  3. Step 3: Cross multiply
    627.42x = 865.89 × 365.46
  4. Step 4: Simplify right side
    627.42x = 316,448.16
  5. Step 5: Solve for x
    x = 316,448.16/627.42
  6. Step 6: Final answer
    x = 504.36

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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.