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Finding the Fourth Proportional to 493.70, 676.36 and 475.23

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Solution

The fourth proportional to 493.70, 676.36 and 475.23 is: 651.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.70 : 676.36 = 475.23 : x
  2. Step 2: Convert to fraction form
    493.70/676.36 = 475.23/x
  3. Step 3: Cross multiply
    493.70x = 676.36 × 475.23
  4. Step 4: Simplify right side
    493.70x = 321,424.19
  5. Step 5: Solve for x
    x = 321,424.19/493.70
  6. Step 6: Final answer
    x = 651.06

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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.