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Finding the Fourth Proportional to 1,288.50, 1,927.89 and 799.26

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Solution

The fourth proportional to 1,288.50, 1,927.89 and 799.26 is: 1,195.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.50 : 1,927.89 = 799.26 : x
  2. Step 2: Convert to fraction form
    1,288.50/1,927.89 = 799.26/x
  3. Step 3: Cross multiply
    1,288.50x = 1,927.89 × 799.26
  4. Step 4: Simplify right side
    1,288.50x = 1,540,885.36
  5. Step 5: Solve for x
    x = 1,540,885.36/1,288.50
  6. Step 6: Final answer
    x = 1,195.88

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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.