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Finding the Fourth Proportional to 606.89, 909.90 and 411.41

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Solution

The fourth proportional to 606.89, 909.90 and 411.41 is: 616.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.89 : 909.90 = 411.41 : x
  2. Step 2: Convert to fraction form
    606.89/909.90 = 411.41/x
  3. Step 3: Cross multiply
    606.89x = 909.90 × 411.41
  4. Step 4: Simplify right side
    606.89x = 374,337.41
  5. Step 5: Solve for x
    x = 374,337.41/606.89
  6. Step 6: Final answer
    x = 616.82

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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.