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Finding the Fourth Proportional to 793.64, 1,189.77 and 382.21

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Solution

The fourth proportional to 793.64, 1,189.77 and 382.21 is: 572.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.64 : 1,189.77 = 382.21 : x
  2. Step 2: Convert to fraction form
    793.64/1,189.77 = 382.21/x
  3. Step 3: Cross multiply
    793.64x = 1,189.77 × 382.21
  4. Step 4: Simplify right side
    793.64x = 454,737.58
  5. Step 5: Solve for x
    x = 454,737.58/793.64
  6. Step 6: Final answer
    x = 572.98

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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.