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Finding the Fourth Proportional to 789.44, 1,183.35 and 708.44

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Solution

The fourth proportional to 789.44, 1,183.35 and 708.44 is: 1,061.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.44 : 1,183.35 = 708.44 : x
  2. Step 2: Convert to fraction form
    789.44/1,183.35 = 708.44/x
  3. Step 3: Cross multiply
    789.44x = 1,183.35 × 708.44
  4. Step 4: Simplify right side
    789.44x = 838,332.47
  5. Step 5: Solve for x
    x = 838,332.47/789.44
  6. Step 6: Final answer
    x = 1,061.93

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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.