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Finding the Fourth Proportional to 789.09, 1,182.02 and 634.18

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Solution

The fourth proportional to 789.09, 1,182.02 and 634.18 is: 949.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.09 : 1,182.02 = 634.18 : x
  2. Step 2: Convert to fraction form
    789.09/1,182.02 = 634.18/x
  3. Step 3: Cross multiply
    789.09x = 1,182.02 × 634.18
  4. Step 4: Simplify right side
    789.09x = 749,607.32
  5. Step 5: Solve for x
    x = 749,607.32/789.09
  6. Step 6: Final answer
    x = 949.96

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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.