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Finding the Fourth Proportional to 484.43, 726.82 and 354.56

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Solution

The fourth proportional to 484.43, 726.82 and 354.56 is: 531.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.43 : 726.82 = 354.56 : x
  2. Step 2: Convert to fraction form
    484.43/726.82 = 354.56/x
  3. Step 3: Cross multiply
    484.43x = 726.82 × 354.56
  4. Step 4: Simplify right side
    484.43x = 257,696.78
  5. Step 5: Solve for x
    x = 257,696.78/484.43
  6. Step 6: Final answer
    x = 531.96

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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.