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Finding the Fourth Proportional to 627.77, 941.98 and 408.83

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Solution

The fourth proportional to 627.77, 941.98 and 408.83 is: 613.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.77 : 941.98 = 408.83 : x
  2. Step 2: Convert to fraction form
    627.77/941.98 = 408.83/x
  3. Step 3: Cross multiply
    627.77x = 941.98 × 408.83
  4. Step 4: Simplify right side
    627.77x = 385,109.68
  5. Step 5: Solve for x
    x = 385,109.68/627.77
  6. Step 6: Final answer
    x = 613.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.