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Finding the Fourth Proportional to 789.38, 1,184.80 and 399.66

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Solution

The fourth proportional to 789.38, 1,184.80 and 399.66 is: 599.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.38 : 1,184.80 = 399.66 : x
  2. Step 2: Convert to fraction form
    789.38/1,184.80 = 399.66/x
  3. Step 3: Cross multiply
    789.38x = 1,184.80 × 399.66
  4. Step 4: Simplify right side
    789.38x = 473,512.24
  5. Step 5: Solve for x
    x = 473,512.24/789.38
  6. Step 6: Final answer
    x = 599.85

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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.