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Finding the Fourth Proportional to 859.67, 1,290.02 and 789.96

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Solution

The fourth proportional to 859.67, 1,290.02 and 789.96 is: 1,185.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.67 : 1,290.02 = 789.96 : x
  2. Step 2: Convert to fraction form
    859.67/1,290.02 = 789.96/x
  3. Step 3: Cross multiply
    859.67x = 1,290.02 × 789.96
  4. Step 4: Simplify right side
    859.67x = 1,019,060.25
  5. Step 5: Solve for x
    x = 1,019,060.25/859.67
  6. Step 6: Final answer
    x = 1,185.42

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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.