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Finding the Fourth Proportional to 2,260.40, 3,392.08 and 799.49

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Solution

The fourth proportional to 2,260.40, 3,392.08 and 799.49 is: 1,199.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.40 : 3,392.08 = 799.49 : x
  2. Step 2: Convert to fraction form
    2,260.40/3,392.08 = 799.49/x
  3. Step 3: Cross multiply
    2,260.40x = 3,392.08 × 799.49
  4. Step 4: Simplify right side
    2,260.40x = 2,711,940.52
  5. Step 5: Solve for x
    x = 2,711,940.52/2,260.40
  6. Step 6: Final answer
    x = 1,199.76

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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.