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Finding the Fourth Proportional to 793.56, 1,189.62 and 408

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Solution

The fourth proportional to 793.56, 1,189.62 and 408 is: 611.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.56 : 1,189.62 = 408 : x
  2. Step 2: Convert to fraction form
    793.56/1,189.62 = 408/x
  3. Step 3: Cross multiply
    793.56x = 1,189.62 × 408
  4. Step 4: Simplify right side
    793.56x = 485,364.96
  5. Step 5: Solve for x
    x = 485,364.96/793.56
  6. Step 6: Final answer
    x = 611.63

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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.