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Finding the Fourth Proportional to 789.70, 1,184.96 and 378.62

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Solution

The fourth proportional to 789.70, 1,184.96 and 378.62 is: 568.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.70 : 1,184.96 = 378.62 : x
  2. Step 2: Convert to fraction form
    789.70/1,184.96 = 378.62/x
  3. Step 3: Cross multiply
    789.70x = 1,184.96 × 378.62
  4. Step 4: Simplify right side
    789.70x = 448,649.56
  5. Step 5: Solve for x
    x = 448,649.56/789.70
  6. Step 6: Final answer
    x = 568.13

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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.