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Finding the Fourth Proportional to 484.10, 726.39 and 321.74

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Solution

The fourth proportional to 484.10, 726.39 and 321.74 is: 482.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.10 : 726.39 = 321.74 : x
  2. Step 2: Convert to fraction form
    484.10/726.39 = 321.74/x
  3. Step 3: Cross multiply
    484.10x = 726.39 × 321.74
  4. Step 4: Simplify right side
    484.10x = 233,708.72
  5. Step 5: Solve for x
    x = 233,708.72/484.10
  6. Step 6: Final answer
    x = 482.77

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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.