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Finding the Fourth Proportional to 2,259.75, 3,390.20 and 779.00

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Solution

The fourth proportional to 2,259.75, 3,390.20 and 779.00 is: 1,168.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.75 : 3,390.20 = 779.00 : x
  2. Step 2: Convert to fraction form
    2,259.75/3,390.20 = 779.00/x
  3. Step 3: Cross multiply
    2,259.75x = 3,390.20 × 779.00
  4. Step 4: Simplify right side
    2,259.75x = 2,640,944.95
  5. Step 5: Solve for x
    x = 2,640,944.95/2,259.75
  6. Step 6: Final answer
    x = 1,168.69

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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.