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Finding the Fourth Proportional to 537.22, 741.46 and 449.86

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Solution

The fourth proportional to 537.22, 741.46 and 449.86 is: 620.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.22 : 741.46 = 449.86 : x
  2. Step 2: Convert to fraction form
    537.22/741.46 = 449.86/x
  3. Step 3: Cross multiply
    537.22x = 741.46 × 449.86
  4. Step 4: Simplify right side
    537.22x = 333,550.95
  5. Step 5: Solve for x
    x = 333,550.95/537.22
  6. Step 6: Final answer
    x = 620.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.