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Finding the Fourth Proportional to 1,265.44, 1,745.84 and 741.28

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Solution

The fourth proportional to 1,265.44, 1,745.84 and 741.28 is: 1,022.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.44 : 1,745.84 = 741.28 : x
  2. Step 2: Convert to fraction form
    1,265.44/1,745.84 = 741.28/x
  3. Step 3: Cross multiply
    1,265.44x = 1,745.84 × 741.28
  4. Step 4: Simplify right side
    1,265.44x = 1,294,156.28
  5. Step 5: Solve for x
    x = 1,294,156.28/1,265.44
  6. Step 6: Final answer
    x = 1,022.69

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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.