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Finding the Fourth Proportional to 493.76, 739.92 and 349.52

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Solution

The fourth proportional to 493.76, 739.92 and 349.52 is: 523.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.76 : 739.92 = 349.52 : x
  2. Step 2: Convert to fraction form
    493.76/739.92 = 349.52/x
  3. Step 3: Cross multiply
    493.76x = 739.92 × 349.52
  4. Step 4: Simplify right side
    493.76x = 258,616.84
  5. Step 5: Solve for x
    x = 258,616.84/493.76
  6. Step 6: Final answer
    x = 523.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.