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Finding the Fourth Proportional to 496.55, 685.02 and 349.28

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Solution

The fourth proportional to 496.55, 685.02 and 349.28 is: 481.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.55 : 685.02 = 349.28 : x
  2. Step 2: Convert to fraction form
    496.55/685.02 = 349.28/x
  3. Step 3: Cross multiply
    496.55x = 685.02 × 349.28
  4. Step 4: Simplify right side
    496.55x = 239,263.79
  5. Step 5: Solve for x
    x = 239,263.79/496.55
  6. Step 6: Final answer
    x = 481.85

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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.