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Finding the Fourth Proportional to 606.37, 910.16 and 411.38

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Solution

The fourth proportional to 606.37, 910.16 and 411.38 is: 617.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.37 : 910.16 = 411.38 : x
  2. Step 2: Convert to fraction form
    606.37/910.16 = 411.38/x
  3. Step 3: Cross multiply
    606.37x = 910.16 × 411.38
  4. Step 4: Simplify right side
    606.37x = 374,419.56
  5. Step 5: Solve for x
    x = 374,419.56/606.37
  6. Step 6: Final answer
    x = 617.48

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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.