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Finding the Fourth Proportional to 789.60, 1,190.32 and 736.74

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Solution

The fourth proportional to 789.60, 1,190.32 and 736.74 is: 1,110.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.60 : 1,190.32 = 736.74 : x
  2. Step 2: Convert to fraction form
    789.60/1,190.32 = 736.74/x
  3. Step 3: Cross multiply
    789.60x = 1,190.32 × 736.74
  4. Step 4: Simplify right side
    789.60x = 876,956.36
  5. Step 5: Solve for x
    x = 876,956.36/789.60
  6. Step 6: Final answer
    x = 1,110.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.