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Finding the Fourth Proportional to 793.32, 1,191.20 and 778.74

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Solution

The fourth proportional to 793.32, 1,191.20 and 778.74 is: 1,169.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.32 : 1,191.20 = 778.74 : x
  2. Step 2: Convert to fraction form
    793.32/1,191.20 = 778.74/x
  3. Step 3: Cross multiply
    793.32x = 1,191.20 × 778.74
  4. Step 4: Simplify right side
    793.32x = 927,631.19
  5. Step 5: Solve for x
    x = 927,631.19/793.32
  6. Step 6: Final answer
    x = 1,169.30

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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.