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Finding the Fourth Proportional to 484.78, 669.11 and 298.43

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Solution

The fourth proportional to 484.78, 669.11 and 298.43 is: 411.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.78 : 669.11 = 298.43 : x
  2. Step 2: Convert to fraction form
    484.78/669.11 = 298.43/x
  3. Step 3: Cross multiply
    484.78x = 669.11 × 298.43
  4. Step 4: Simplify right side
    484.78x = 199,682.50
  5. Step 5: Solve for x
    x = 199,682.50/484.78
  6. Step 6: Final answer
    x = 411.90

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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.