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Finding the Fourth Proportional to 484.12, 726.84 and 475.92

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Solution

The fourth proportional to 484.12, 726.84 and 475.92 is: 714.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.12 : 726.84 = 475.92 : x
  2. Step 2: Convert to fraction form
    484.12/726.84 = 475.92/x
  3. Step 3: Cross multiply
    484.12x = 726.84 × 475.92
  4. Step 4: Simplify right side
    484.12x = 345,917.69
  5. Step 5: Solve for x
    x = 345,917.69/484.12
  6. Step 6: Final answer
    x = 714.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.