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Finding the Fourth Proportional to 789.63, 1,185.79 and 748.59

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Solution

The fourth proportional to 789.63, 1,185.79 and 748.59 is: 1,124.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.63 : 1,185.79 = 748.59 : x
  2. Step 2: Convert to fraction form
    789.63/1,185.79 = 748.59/x
  3. Step 3: Cross multiply
    789.63x = 1,185.79 × 748.59
  4. Step 4: Simplify right side
    789.63x = 887,670.54
  5. Step 5: Solve for x
    x = 887,670.54/789.63
  6. Step 6: Final answer
    x = 1,124.16

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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.