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Finding the Fourth Proportional to 606.39, 909.23 and 411.68

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Solution

The fourth proportional to 606.39, 909.23 and 411.68 is: 617.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.39 : 909.23 = 411.68 : x
  2. Step 2: Convert to fraction form
    606.39/909.23 = 411.68/x
  3. Step 3: Cross multiply
    606.39x = 909.23 × 411.68
  4. Step 4: Simplify right side
    606.39x = 374,312.02
  5. Step 5: Solve for x
    x = 374,312.02/606.39
  6. Step 6: Final answer
    x = 617.28

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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.