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Finding the Fourth Proportional to 484.18, 726.78 and 393.97

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Solution

The fourth proportional to 484.18, 726.78 and 393.97 is: 591.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.18 : 726.78 = 393.97 : x
  2. Step 2: Convert to fraction form
    484.18/726.78 = 393.97/x
  3. Step 3: Cross multiply
    484.18x = 726.78 × 393.97
  4. Step 4: Simplify right side
    484.18x = 286,329.52
  5. Step 5: Solve for x
    x = 286,329.52/484.18
  6. Step 6: Final answer
    x = 591.37

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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.