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Finding the Fourth Proportional to 496.26, 739.83 and 457.38

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Solution

The fourth proportional to 496.26, 739.83 and 457.38 is: 681.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.26 : 739.83 = 457.38 : x
  2. Step 2: Convert to fraction form
    496.26/739.83 = 457.38/x
  3. Step 3: Cross multiply
    496.26x = 739.83 × 457.38
  4. Step 4: Simplify right side
    496.26x = 338,385.16
  5. Step 5: Solve for x
    x = 338,385.16/496.26
  6. Step 6: Final answer
    x = 681.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.