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Finding the Fourth Proportional to 2,258.39, 3,388.67 and 798.23

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Solution

The fourth proportional to 2,258.39, 3,388.67 and 798.23 is: 1,197.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.39 : 3,388.67 = 798.23 : x
  2. Step 2: Convert to fraction form
    2,258.39/3,388.67 = 798.23/x
  3. Step 3: Cross multiply
    2,258.39x = 3,388.67 × 798.23
  4. Step 4: Simplify right side
    2,258.39x = 2,704,917.12
  5. Step 5: Solve for x
    x = 2,704,917.12/2,258.39
  6. Step 6: Final answer
    x = 1,197.72

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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.