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Finding the Fourth Proportional to 793.41, 1,189.84 and 306.42

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Solution

The fourth proportional to 793.41, 1,189.84 and 306.42 is: 459.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.41 : 1,189.84 = 306.42 : x
  2. Step 2: Convert to fraction form
    793.41/1,189.84 = 306.42/x
  3. Step 3: Cross multiply
    793.41x = 1,189.84 × 306.42
  4. Step 4: Simplify right side
    793.41x = 364,590.77
  5. Step 5: Solve for x
    x = 364,590.77/793.41
  6. Step 6: Final answer
    x = 459.52

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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.