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Finding the Fourth Proportional to 789.66, 1,184.39 and 379.06

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Solution

The fourth proportional to 789.66, 1,184.39 and 379.06 is: 568.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.66 : 1,184.39 = 379.06 : x
  2. Step 2: Convert to fraction form
    789.66/1,184.39 = 379.06/x
  3. Step 3: Cross multiply
    789.66x = 1,184.39 × 379.06
  4. Step 4: Simplify right side
    789.66x = 448,954.87
  5. Step 5: Solve for x
    x = 448,954.87/789.66
  6. Step 6: Final answer
    x = 568.54

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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.