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Finding the Fourth Proportional to 493.20, 675.67 and 474.73

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Solution

The fourth proportional to 493.20, 675.67 and 474.73 is: 650.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.20 : 675.67 = 474.73 : x
  2. Step 2: Convert to fraction form
    493.20/675.67 = 474.73/x
  3. Step 3: Cross multiply
    493.20x = 675.67 × 474.73
  4. Step 4: Simplify right side
    493.20x = 320,762.01
  5. Step 5: Solve for x
    x = 320,762.01/493.20
  6. Step 6: Final answer
    x = 650.38

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1.5x scale

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.