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Finding the Fourth Proportional to 796.23, 1,193.54 and 449.55

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Solution

The fourth proportional to 796.23, 1,193.54 and 449.55 is: 673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.23 : 1,193.54 = 449.55 : x
  2. Step 2: Convert to fraction form
    796.23/1,193.54 = 449.55/x
  3. Step 3: Cross multiply
    796.23x = 1,193.54 × 449.55
  4. Step 4: Simplify right side
    796.23x = 536,553.66
  5. Step 5: Solve for x
    x = 536,553.66/796.23
  6. Step 6: Final answer
    x = 673.87

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1.5x scale

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.