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Finding the Fourth Proportional to 627.21, 942.26 and 442.54

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Solution

The fourth proportional to 627.21, 942.26 and 442.54 is: 664.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.21 : 942.26 = 442.54 : x
  2. Step 2: Convert to fraction form
    627.21/942.26 = 442.54/x
  3. Step 3: Cross multiply
    627.21x = 942.26 × 442.54
  4. Step 4: Simplify right side
    627.21x = 416,985.30
  5. Step 5: Solve for x
    x = 416,985.30/627.21
  6. Step 6: Final answer
    x = 664.83

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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.