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Finding the Fourth Proportional to 627.42, 939.62 and 409.80

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Solution

The fourth proportional to 627.42, 939.62 and 409.80 is: 613.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.42 : 939.62 = 409.80 : x
  2. Step 2: Convert to fraction form
    627.42/939.62 = 409.80/x
  3. Step 3: Cross multiply
    627.42x = 939.62 × 409.80
  4. Step 4: Simplify right side
    627.42x = 385,056.28
  5. Step 5: Solve for x
    x = 385,056.28/627.42
  6. Step 6: Final answer
    x = 613.71

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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.