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Finding the Fourth Proportional to 484.11, 725.72 and 354.74

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Solution

The fourth proportional to 484.11, 725.72 and 354.74 is: 531.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.11 : 725.72 = 354.74 : x
  2. Step 2: Convert to fraction form
    484.11/725.72 = 354.74/x
  3. Step 3: Cross multiply
    484.11x = 725.72 × 354.74
  4. Step 4: Simplify right side
    484.11x = 257,441.91
  5. Step 5: Solve for x
    x = 257,441.91/484.11
  6. Step 6: Final answer
    x = 531.78

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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.