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Finding the Fourth Proportional to 538.03, 739.88 and 449.47

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Solution

The fourth proportional to 538.03, 739.88 and 449.47 is: 618.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.03 : 739.88 = 449.47 : x
  2. Step 2: Convert to fraction form
    538.03/739.88 = 449.47/x
  3. Step 3: Cross multiply
    538.03x = 739.88 × 449.47
  4. Step 4: Simplify right side
    538.03x = 332,550.16
  5. Step 5: Solve for x
    x = 332,550.16/538.03
  6. Step 6: Final answer
    x = 618.09

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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.