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Finding the Fourth Proportional to 537.27, 741.56 and 449.79

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Solution

The fourth proportional to 537.27, 741.56 and 449.79 is: 620.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.27 : 741.56 = 449.79 : x
  2. Step 2: Convert to fraction form
    537.27/741.56 = 449.79/x
  3. Step 3: Cross multiply
    537.27x = 741.56 × 449.79
  4. Step 4: Simplify right side
    537.27x = 333,544.02
  5. Step 5: Solve for x
    x = 333,544.02/537.27
  6. Step 6: Final answer
    x = 620.81

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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.