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Finding the Fourth Proportional to 789.70, 1,184.97 and 351.39

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Solution

The fourth proportional to 789.70, 1,184.97 and 351.39 is: 527.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.70 : 1,184.97 = 351.39 : x
  2. Step 2: Convert to fraction form
    789.70/1,184.97 = 351.39/x
  3. Step 3: Cross multiply
    789.70x = 1,184.97 × 351.39
  4. Step 4: Simplify right side
    789.70x = 416,383.23
  5. Step 5: Solve for x
    x = 416,383.23/789.70
  6. Step 6: Final answer
    x = 527.27

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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.