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Finding the Fourth Proportional to 483.27, 724.09 and 386.88

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Solution

The fourth proportional to 483.27, 724.09 and 386.88 is: 579.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.27 : 724.09 = 386.88 : x
  2. Step 2: Convert to fraction form
    483.27/724.09 = 386.88/x
  3. Step 3: Cross multiply
    483.27x = 724.09 × 386.88
  4. Step 4: Simplify right side
    483.27x = 280,135.94
  5. Step 5: Solve for x
    x = 280,135.94/483.27
  6. Step 6: Final answer
    x = 579.67

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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.