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Finding the Fourth Proportional to 484.74, 726.12 and 392.94

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Solution

The fourth proportional to 484.74, 726.12 and 392.94 is: 588.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.74 : 726.12 = 392.94 : x
  2. Step 2: Convert to fraction form
    484.74/726.12 = 392.94/x
  3. Step 3: Cross multiply
    484.74x = 726.12 × 392.94
  4. Step 4: Simplify right side
    484.74x = 285,321.59
  5. Step 5: Solve for x
    x = 285,321.59/484.74
  6. Step 6: Final answer
    x = 588.61

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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.