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Finding the Fourth Proportional to 1,276.62, 1,761.86 and 779.59

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Solution

The fourth proportional to 1,276.62, 1,761.86 and 779.59 is: 1,075.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.62 : 1,761.86 = 779.59 : x
  2. Step 2: Convert to fraction form
    1,276.62/1,761.86 = 779.59/x
  3. Step 3: Cross multiply
    1,276.62x = 1,761.86 × 779.59
  4. Step 4: Simplify right side
    1,276.62x = 1,373,528.44
  5. Step 5: Solve for x
    x = 1,373,528.44/1,276.62
  6. Step 6: Final answer
    x = 1,075.91

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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.