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Finding the Fourth Proportional to 416.89, 627.82 and 363.43

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Solution

The fourth proportional to 416.89, 627.82 and 363.43 is: 547.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.89 : 627.82 = 363.43 : x
  2. Step 2: Convert to fraction form
    416.89/627.82 = 363.43/x
  3. Step 3: Cross multiply
    416.89x = 627.82 × 363.43
  4. Step 4: Simplify right side
    416.89x = 228,168.62
  5. Step 5: Solve for x
    x = 228,168.62/416.89
  6. Step 6: Final answer
    x = 547.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.