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Finding the Fourth Proportional to 789.18, 1,181.94 and 743.64

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Solution

The fourth proportional to 789.18, 1,181.94 and 743.64 is: 1,113.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.18 : 1,181.94 = 743.64 : x
  2. Step 2: Convert to fraction form
    789.18/1,181.94 = 743.64/x
  3. Step 3: Cross multiply
    789.18x = 1,181.94 × 743.64
  4. Step 4: Simplify right side
    789.18x = 878,937.86
  5. Step 5: Solve for x
    x = 878,937.86/789.18
  6. Step 6: Final answer
    x = 1,113.74

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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.