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Finding the Fourth Proportional to 493.62, 684.09 and 484.41

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Solution

The fourth proportional to 493.62, 684.09 and 484.41 is: 671.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.62 : 684.09 = 484.41 : x
  2. Step 2: Convert to fraction form
    493.62/684.09 = 484.41/x
  3. Step 3: Cross multiply
    493.62x = 684.09 × 484.41
  4. Step 4: Simplify right side
    493.62x = 331,380.04
  5. Step 5: Solve for x
    x = 331,380.04/493.62
  6. Step 6: Final answer
    x = 671.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.