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Finding the Fourth Proportional to 1,269.26, 1,751.86 and 745.40

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Solution

The fourth proportional to 1,269.26, 1,751.86 and 745.40 is: 1,028.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.26 : 1,751.86 = 745.40 : x
  2. Step 2: Convert to fraction form
    1,269.26/1,751.86 = 745.40/x
  3. Step 3: Cross multiply
    1,269.26x = 1,751.86 × 745.40
  4. Step 4: Simplify right side
    1,269.26x = 1,305,836.44
  5. Step 5: Solve for x
    x = 1,305,836.44/1,269.26
  6. Step 6: Final answer
    x = 1,028.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.