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Finding the Fourth Proportional to 627.97, 942.09 and 303.16

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Solution

The fourth proportional to 627.97, 942.09 and 303.16 is: 454.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.97 : 942.09 = 303.16 : x
  2. Step 2: Convert to fraction form
    627.97/942.09 = 303.16/x
  3. Step 3: Cross multiply
    627.97x = 942.09 × 303.16
  4. Step 4: Simplify right side
    627.97x = 285,604.00
  5. Step 5: Solve for x
    x = 285,604.00/627.97
  6. Step 6: Final answer
    x = 454.81

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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.