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Finding the Fourth Proportional to 789.06, 1,177.72 and 696.80

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Solution

The fourth proportional to 789.06, 1,177.72 and 696.80 is: 1,040.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.06 : 1,177.72 = 696.80 : x
  2. Step 2: Convert to fraction form
    789.06/1,177.72 = 696.80/x
  3. Step 3: Cross multiply
    789.06x = 1,177.72 × 696.80
  4. Step 4: Simplify right side
    789.06x = 820,635.30
  5. Step 5: Solve for x
    x = 820,635.30/789.06
  6. Step 6: Final answer
    x = 1,040.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.