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Finding the Fourth Proportional to 606.38, 909.05 and 272.57

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Solution

The fourth proportional to 606.38, 909.05 and 272.57 is: 408.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.38 : 909.05 = 272.57 : x
  2. Step 2: Convert to fraction form
    606.38/909.05 = 272.57/x
  3. Step 3: Cross multiply
    606.38x = 909.05 × 272.57
  4. Step 4: Simplify right side
    606.38x = 247,780.67
  5. Step 5: Solve for x
    x = 247,780.67/606.38
  6. Step 6: Final answer
    x = 408.62

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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.