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Finding the Fourth Proportional to 793.68, 1,192.35 and 760.88

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Solution

The fourth proportional to 793.68, 1,192.35 and 760.88 is: 1,143.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.68 : 1,192.35 = 760.88 : x
  2. Step 2: Convert to fraction form
    793.68/1,192.35 = 760.88/x
  3. Step 3: Cross multiply
    793.68x = 1,192.35 × 760.88
  4. Step 4: Simplify right side
    793.68x = 907,229.31
  5. Step 5: Solve for x
    x = 907,229.31/793.68
  6. Step 6: Final answer
    x = 1,143.07

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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.