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Finding the Fourth Proportional to 1,356.13, 2,033.79 and 739.72

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Solution

The fourth proportional to 1,356.13, 2,033.79 and 739.72 is: 1,109.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.13 : 2,033.79 = 739.72 : x
  2. Step 2: Convert to fraction form
    1,356.13/2,033.79 = 739.72/x
  3. Step 3: Cross multiply
    1,356.13x = 2,033.79 × 739.72
  4. Step 4: Simplify right side
    1,356.13x = 1,504,435.14
  5. Step 5: Solve for x
    x = 1,504,435.14/1,356.13
  6. Step 6: Final answer
    x = 1,109.36

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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.