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Finding the Fourth Proportional to 627.03, 942.44 and 506.79

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Solution

The fourth proportional to 627.03, 942.44 and 506.79 is: 761.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.03 : 942.44 = 506.79 : x
  2. Step 2: Convert to fraction form
    627.03/942.44 = 506.79/x
  3. Step 3: Cross multiply
    627.03x = 942.44 × 506.79
  4. Step 4: Simplify right side
    627.03x = 477,616.63
  5. Step 5: Solve for x
    x = 477,616.63/627.03
  6. Step 6: Final answer
    x = 761.71

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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.