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Finding the Fourth Proportional to 494.13, 676.96 and 475.67

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Solution

The fourth proportional to 494.13, 676.96 and 475.67 is: 651.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.13 : 676.96 = 475.67 : x
  2. Step 2: Convert to fraction form
    494.13/676.96 = 475.67/x
  3. Step 3: Cross multiply
    494.13x = 676.96 × 475.67
  4. Step 4: Simplify right side
    494.13x = 322,007.18
  5. Step 5: Solve for x
    x = 322,007.18/494.13
  6. Step 6: Final answer
    x = 651.66

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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.