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Finding the Fourth Proportional to 484.92, 669.17 and 288.43

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Solution

The fourth proportional to 484.92, 669.17 and 288.43 is: 398.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.92 : 669.17 = 288.43 : x
  2. Step 2: Convert to fraction form
    484.92/669.17 = 288.43/x
  3. Step 3: Cross multiply
    484.92x = 669.17 × 288.43
  4. Step 4: Simplify right side
    484.92x = 193,007.75
  5. Step 5: Solve for x
    x = 193,007.75/484.92
  6. Step 6: Final answer
    x = 398.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.