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Finding the Fourth Proportional to 493.89, 676.62 and 475.43

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Solution

The fourth proportional to 493.89, 676.62 and 475.43 is: 651.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.89 : 676.62 = 475.43 : x
  2. Step 2: Convert to fraction form
    493.89/676.62 = 475.43/x
  3. Step 3: Cross multiply
    493.89x = 676.62 × 475.43
  4. Step 4: Simplify right side
    493.89x = 321,682.06
  5. Step 5: Solve for x
    x = 321,682.06/493.89
  6. Step 6: Final answer
    x = 651.32

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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.