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Finding the Fourth Proportional to 1,276.09, 1,761.35 and 778.92

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Solution

The fourth proportional to 1,276.09, 1,761.35 and 778.92 is: 1,075.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.09 : 1,761.35 = 778.92 : x
  2. Step 2: Convert to fraction form
    1,276.09/1,761.35 = 778.92/x
  3. Step 3: Cross multiply
    1,276.09x = 1,761.35 × 778.92
  4. Step 4: Simplify right side
    1,276.09x = 1,371,940.24
  5. Step 5: Solve for x
    x = 1,371,940.24/1,276.09
  6. Step 6: Final answer
    x = 1,075.11

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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.