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Finding the Fourth Proportional to 627.94, 942.74 and 504.61

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Solution

The fourth proportional to 627.94, 942.74 and 504.61 is: 757.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.94 : 942.74 = 504.61 : x
  2. Step 2: Convert to fraction form
    627.94/942.74 = 504.61/x
  3. Step 3: Cross multiply
    627.94x = 942.74 × 504.61
  4. Step 4: Simplify right side
    627.94x = 475,716.03
  5. Step 5: Solve for x
    x = 475,716.03/627.94
  6. Step 6: Final answer
    x = 757.58

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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.