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Finding the Fourth Proportional to 2,258.64, 3,387.99 and 797.91

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Solution

The fourth proportional to 2,258.64, 3,387.99 and 797.91 is: 1,196.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.64 : 3,387.99 = 797.91 : x
  2. Step 2: Convert to fraction form
    2,258.64/3,387.99 = 797.91/x
  3. Step 3: Cross multiply
    2,258.64x = 3,387.99 × 797.91
  4. Step 4: Simplify right side
    2,258.64x = 2,703,311.10
  5. Step 5: Solve for x
    x = 2,703,311.10/2,258.64
  6. Step 6: Final answer
    x = 1,196.88

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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.