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Finding the Fourth Proportional to 794.20, 1,193.12 and 563.66

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Solution

The fourth proportional to 794.20, 1,193.12 and 563.66 is: 846.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.20 : 1,193.12 = 563.66 : x
  2. Step 2: Convert to fraction form
    794.20/1,193.12 = 563.66/x
  3. Step 3: Cross multiply
    794.20x = 1,193.12 × 563.66
  4. Step 4: Simplify right side
    794.20x = 672,514.02
  5. Step 5: Solve for x
    x = 672,514.02/794.20
  6. Step 6: Final answer
    x = 846.78

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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.