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Finding the Fourth Proportional to 387.27, 579.83 and 325.71

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Solution

The fourth proportional to 387.27, 579.83 and 325.71 is: 487.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.27 : 579.83 = 325.71 : x
  2. Step 2: Convert to fraction form
    387.27/579.83 = 325.71/x
  3. Step 3: Cross multiply
    387.27x = 579.83 × 325.71
  4. Step 4: Simplify right side
    387.27x = 188,854.80
  5. Step 5: Solve for x
    x = 188,854.80/387.27
  6. Step 6: Final answer
    x = 487.66

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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.