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Finding the Fourth Proportional to 1,276.57, 1,761.54 and 779.33

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Solution

The fourth proportional to 1,276.57, 1,761.54 and 779.33 is: 1,075.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.57 : 1,761.54 = 779.33 : x
  2. Step 2: Convert to fraction form
    1,276.57/1,761.54 = 779.33/x
  3. Step 3: Cross multiply
    1,276.57x = 1,761.54 × 779.33
  4. Step 4: Simplify right side
    1,276.57x = 1,372,817.07
  5. Step 5: Solve for x
    x = 1,372,817.07/1,276.57
  6. Step 6: Final answer
    x = 1,075.40

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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.