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Finding the Fourth Proportional to 789.13, 1,184.42 and 399.41

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Solution

The fourth proportional to 789.13, 1,184.42 and 399.41 is: 599.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.13 : 1,184.42 = 399.41 : x
  2. Step 2: Convert to fraction form
    789.13/1,184.42 = 399.41/x
  3. Step 3: Cross multiply
    789.13x = 1,184.42 × 399.41
  4. Step 4: Simplify right side
    789.13x = 473,064.27
  5. Step 5: Solve for x
    x = 473,064.27/789.13
  6. Step 6: Final answer
    x = 599.48

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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.