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Finding the Fourth Proportional to 793.56, 1,182.21 and 784.92

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Solution

The fourth proportional to 793.56, 1,182.21 and 784.92 is: 1,169.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.56 : 1,182.21 = 784.92 : x
  2. Step 2: Convert to fraction form
    793.56/1,182.21 = 784.92/x
  3. Step 3: Cross multiply
    793.56x = 1,182.21 × 784.92
  4. Step 4: Simplify right side
    793.56x = 927,940.27
  5. Step 5: Solve for x
    x = 927,940.27/793.56
  6. Step 6: Final answer
    x = 1,169.34

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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.