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Finding the Fourth Proportional to 493.46, 739.66 and 371.34

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Solution

The fourth proportional to 493.46, 739.66 and 371.34 is: 556.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.46 : 739.66 = 371.34 : x
  2. Step 2: Convert to fraction form
    493.46/739.66 = 371.34/x
  3. Step 3: Cross multiply
    493.46x = 739.66 × 371.34
  4. Step 4: Simplify right side
    493.46x = 274,665.34
  5. Step 5: Solve for x
    x = 274,665.34/493.46
  6. Step 6: Final answer
    x = 556.61

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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.