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Finding the Fourth Proportional to 793.95, 1,185.20 and 696.75

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Solution

The fourth proportional to 793.95, 1,185.20 and 696.75 is: 1,040.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.95 : 1,185.20 = 696.75 : x
  2. Step 2: Convert to fraction form
    793.95/1,185.20 = 696.75/x
  3. Step 3: Cross multiply
    793.95x = 1,185.20 × 696.75
  4. Step 4: Simplify right side
    793.95x = 825,784.62
  5. Step 5: Solve for x
    x = 825,784.62/793.95
  6. Step 6: Final answer
    x = 1,040.10

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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.