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Finding the Fourth Proportional to 496.13, 676.13 and 494.31

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Solution

The fourth proportional to 496.13, 676.13 and 494.31 is: 673.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.13 : 676.13 = 494.31 : x
  2. Step 2: Convert to fraction form
    496.13/676.13 = 494.31/x
  3. Step 3: Cross multiply
    496.13x = 676.13 × 494.31
  4. Step 4: Simplify right side
    496.13x = 334,217.20
  5. Step 5: Solve for x
    x = 334,217.20/496.13
  6. Step 6: Final answer
    x = 673.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.