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Finding the Fourth Proportional to 1,276.36, 1,761.55 and 745.40

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Solution

The fourth proportional to 1,276.36, 1,761.55 and 745.40 is: 1,028.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.36 : 1,761.55 = 745.40 : x
  2. Step 2: Convert to fraction form
    1,276.36/1,761.55 = 745.40/x
  3. Step 3: Cross multiply
    1,276.36x = 1,761.55 × 745.40
  4. Step 4: Simplify right side
    1,276.36x = 1,313,061.91
  5. Step 5: Solve for x
    x = 1,313,061.91/1,276.36
  6. Step 6: Final answer
    x = 1,028.76

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Why These Related Problems?

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