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Finding the Fourth Proportional to 483.92, 724.76 and 380.48

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Solution

The fourth proportional to 483.92, 724.76 and 380.48 is: 569.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.92 : 724.76 = 380.48 : x
  2. Step 2: Convert to fraction form
    483.92/724.76 = 380.48/x
  3. Step 3: Cross multiply
    483.92x = 724.76 × 380.48
  4. Step 4: Simplify right side
    483.92x = 275,756.68
  5. Step 5: Solve for x
    x = 275,756.68/483.92
  6. Step 6: Final answer
    x = 569.84

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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.