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Finding the Fourth Proportional to 627.56, 939.78 and 506.06

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Solution

The fourth proportional to 627.56, 939.78 and 506.06 is: 757.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.56 : 939.78 = 506.06 : x
  2. Step 2: Convert to fraction form
    627.56/939.78 = 506.06/x
  3. Step 3: Cross multiply
    627.56x = 939.78 × 506.06
  4. Step 4: Simplify right side
    627.56x = 475,585.07
  5. Step 5: Solve for x
    x = 475,585.07/627.56
  6. Step 6: Final answer
    x = 757.83

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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.