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Finding the Fourth Proportional to 627.80, 940.94 and 319.56

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Solution

The fourth proportional to 627.80, 940.94 and 319.56 is: 478.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.80 : 940.94 = 319.56 : x
  2. Step 2: Convert to fraction form
    627.80/940.94 = 319.56/x
  3. Step 3: Cross multiply
    627.80x = 940.94 × 319.56
  4. Step 4: Simplify right side
    627.80x = 300,686.79
  5. Step 5: Solve for x
    x = 300,686.79/627.80
  6. Step 6: Final answer
    x = 478.95

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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.