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Finding the Fourth Proportional to 789.61, 1,184.64 and 234.33

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Solution

The fourth proportional to 789.61, 1,184.64 and 234.33 is: 351.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.61 : 1,184.64 = 234.33 : x
  2. Step 2: Convert to fraction form
    789.61/1,184.64 = 234.33/x
  3. Step 3: Cross multiply
    789.61x = 1,184.64 × 234.33
  4. Step 4: Simplify right side
    789.61x = 277,596.69
  5. Step 5: Solve for x
    x = 277,596.69/789.61
  6. Step 6: Final answer
    x = 351.56

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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.