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Finding the Fourth Proportional to 793.92, 1,191.80 and 790.40

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Solution

The fourth proportional to 793.92, 1,191.80 and 790.40 is: 1,186.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.92 : 1,191.80 = 790.40 : x
  2. Step 2: Convert to fraction form
    793.92/1,191.80 = 790.40/x
  3. Step 3: Cross multiply
    793.92x = 1,191.80 × 790.40
  4. Step 4: Simplify right side
    793.92x = 941,998.72
  5. Step 5: Solve for x
    x = 941,998.72/793.92
  6. Step 6: Final answer
    x = 1,186.52

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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.