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Finding the Fourth Proportional to 493.25, 675.76 and 474.80

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Solution

The fourth proportional to 493.25, 675.76 and 474.80 is: 650.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.25 : 675.76 = 474.80 : x
  2. Step 2: Convert to fraction form
    493.25/675.76 = 474.80/x
  3. Step 3: Cross multiply
    493.25x = 675.76 × 474.80
  4. Step 4: Simplify right side
    493.25x = 320,850.85
  5. Step 5: Solve for x
    x = 320,850.85/493.25
  6. Step 6: Final answer
    x = 650.48

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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.