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Finding the Fourth Proportional to 793.44, 1,184.22 and 728.46

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Solution

The fourth proportional to 793.44, 1,184.22 and 728.46 is: 1,087.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.44 : 1,184.22 = 728.46 : x
  2. Step 2: Convert to fraction form
    793.44/1,184.22 = 728.46/x
  3. Step 3: Cross multiply
    793.44x = 1,184.22 × 728.46
  4. Step 4: Simplify right side
    793.44x = 862,656.90
  5. Step 5: Solve for x
    x = 862,656.90/793.44
  6. Step 6: Final answer
    x = 1,087.24

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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.