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Finding the Fourth Proportional to 793.86, 1,189.19 and 381.77

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Solution

The fourth proportional to 793.86, 1,189.19 and 381.77 is: 571.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.86 : 1,189.19 = 381.77 : x
  2. Step 2: Convert to fraction form
    793.86/1,189.19 = 381.77/x
  3. Step 3: Cross multiply
    793.86x = 1,189.19 × 381.77
  4. Step 4: Simplify right side
    793.86x = 454,000.99
  5. Step 5: Solve for x
    x = 454,000.99/793.86
  6. Step 6: Final answer
    x = 571.89

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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.