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Finding the Fourth Proportional to 789.65, 1,184.13 and 399.41

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Solution

The fourth proportional to 789.65, 1,184.13 and 399.41 is: 598.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.65 : 1,184.13 = 399.41 : x
  2. Step 2: Convert to fraction form
    789.65/1,184.13 = 399.41/x
  3. Step 3: Cross multiply
    789.65x = 1,184.13 × 399.41
  4. Step 4: Simplify right side
    789.65x = 472,947.44
  5. Step 5: Solve for x
    x = 472,947.44/789.65
  6. Step 6: Final answer
    x = 598.94

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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.