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Finding the Fourth Proportional to 496.86, 685.94 and 349.92

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Solution

The fourth proportional to 496.86, 685.94 and 349.92 is: 483.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.86 : 685.94 = 349.92 : x
  2. Step 2: Convert to fraction form
    496.86/685.94 = 349.92/x
  3. Step 3: Cross multiply
    496.86x = 685.94 × 349.92
  4. Step 4: Simplify right side
    496.86x = 240,025.33
  5. Step 5: Solve for x
    x = 240,025.33/496.86
  6. Step 6: Final answer
    x = 483.09

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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.