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Finding the Fourth Proportional to 789.80, 1,182.26 and 423.68

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Solution

The fourth proportional to 789.80, 1,182.26 and 423.68 is: 634.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.80 : 1,182.26 = 423.68 : x
  2. Step 2: Convert to fraction form
    789.80/1,182.26 = 423.68/x
  3. Step 3: Cross multiply
    789.80x = 1,182.26 × 423.68
  4. Step 4: Simplify right side
    789.80x = 500,895.06
  5. Step 5: Solve for x
    x = 500,895.06/789.80
  6. Step 6: Final answer
    x = 634.21

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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.