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Finding the Fourth Proportional to 793.24, 1,189.58 and 330.77

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Solution

The fourth proportional to 793.24, 1,189.58 and 330.77 is: 496.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.24 : 1,189.58 = 330.77 : x
  2. Step 2: Convert to fraction form
    793.24/1,189.58 = 330.77/x
  3. Step 3: Cross multiply
    793.24x = 1,189.58 × 330.77
  4. Step 4: Simplify right side
    793.24x = 393,478.70
  5. Step 5: Solve for x
    x = 393,478.70/793.24
  6. Step 6: Final answer
    x = 496.04

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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.