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Finding the Fourth Proportional to 484.22, 663.87 and 475.46

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Solution

The fourth proportional to 484.22, 663.87 and 475.46 is: 651.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.22 : 663.87 = 475.46 : x
  2. Step 2: Convert to fraction form
    484.22/663.87 = 475.46/x
  3. Step 3: Cross multiply
    484.22x = 663.87 × 475.46
  4. Step 4: Simplify right side
    484.22x = 315,644.58
  5. Step 5: Solve for x
    x = 315,644.58/484.22
  6. Step 6: Final answer
    x = 651.86

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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.