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Finding the Fourth Proportional to 789.60, 1,086.54 and 736.14

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Solution

The fourth proportional to 789.60, 1,086.54 and 736.14 is: 1,012.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.60 : 1,086.54 = 736.14 : x
  2. Step 2: Convert to fraction form
    789.60/1,086.54 = 736.14/x
  3. Step 3: Cross multiply
    789.60x = 1,086.54 × 736.14
  4. Step 4: Simplify right side
    789.60x = 799,845.56
  5. Step 5: Solve for x
    x = 799,845.56/789.60
  6. Step 6: Final answer
    x = 1,012.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.