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Finding the Fourth Proportional to 794.30, 1,189.26 and 408.74

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Solution

The fourth proportional to 794.30, 1,189.26 and 408.74 is: 611.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.30 : 1,189.26 = 408.74 : x
  2. Step 2: Convert to fraction form
    794.30/1,189.26 = 408.74/x
  3. Step 3: Cross multiply
    794.30x = 1,189.26 × 408.74
  4. Step 4: Simplify right side
    794.30x = 486,092.19
  5. Step 5: Solve for x
    x = 486,092.19/794.30
  6. Step 6: Final answer
    x = 611.98

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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.