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Finding the Fourth Proportional to 2,260.97, 3,390.60 and 779.78

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Solution

The fourth proportional to 2,260.97, 3,390.60 and 779.78 is: 1,169.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.97 : 3,390.60 = 779.78 : x
  2. Step 2: Convert to fraction form
    2,260.97/3,390.60 = 779.78/x
  3. Step 3: Cross multiply
    2,260.97x = 3,390.60 × 779.78
  4. Step 4: Simplify right side
    2,260.97x = 2,643,905.12
  5. Step 5: Solve for x
    x = 2,643,905.12/2,260.97
  6. Step 6: Final answer
    x = 1,169.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.