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Finding the Fourth Proportional to 484.57, 726.99 and 363.07

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Solution

The fourth proportional to 484.57, 726.99 and 363.07 is: 544.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.57 : 726.99 = 363.07 : x
  2. Step 2: Convert to fraction form
    484.57/726.99 = 363.07/x
  3. Step 3: Cross multiply
    484.57x = 726.99 × 363.07
  4. Step 4: Simplify right side
    484.57x = 263,948.26
  5. Step 5: Solve for x
    x = 263,948.26/484.57
  6. Step 6: Final answer
    x = 544.71

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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.