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Finding the Fourth Proportional to 2,258.68, 3,385.89 and 796.90

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Solution

The fourth proportional to 2,258.68, 3,385.89 and 796.90 is: 1,194.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.68 : 3,385.89 = 796.90 : x
  2. Step 2: Convert to fraction form
    2,258.68/3,385.89 = 796.90/x
  3. Step 3: Cross multiply
    2,258.68x = 3,385.89 × 796.90
  4. Step 4: Simplify right side
    2,258.68x = 2,698,215.74
  5. Step 5: Solve for x
    x = 2,698,215.74/2,258.68
  6. Step 6: Final answer
    x = 1,194.60

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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.