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Finding the Fourth Proportional to 739.56, 1,109.52 and 226.56

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Solution

The fourth proportional to 739.56, 1,109.52 and 226.56 is: 339.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.56 : 1,109.52 = 226.56 : x
  2. Step 2: Convert to fraction form
    739.56/1,109.52 = 226.56/x
  3. Step 3: Cross multiply
    739.56x = 1,109.52 × 226.56
  4. Step 4: Simplify right side
    739.56x = 251,372.85
  5. Step 5: Solve for x
    x = 251,372.85/739.56
  6. Step 6: Final answer
    x = 339.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.