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Finding the Fourth Proportional to 493.41, 676.49 and 484.63

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Solution

The fourth proportional to 493.41, 676.49 and 484.63 is: 664.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.41 : 676.49 = 484.63 : x
  2. Step 2: Convert to fraction form
    493.41/676.49 = 484.63/x
  3. Step 3: Cross multiply
    493.41x = 676.49 × 484.63
  4. Step 4: Simplify right side
    493.41x = 327,847.35
  5. Step 5: Solve for x
    x = 327,847.35/493.41
  6. Step 6: Final answer
    x = 664.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.