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Finding the Fourth Proportional to 606.49, 837.26 and 411.03

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Solution

The fourth proportional to 606.49, 837.26 and 411.03 is: 567.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.49 : 837.26 = 411.03 : x
  2. Step 2: Convert to fraction form
    606.49/837.26 = 411.03/x
  3. Step 3: Cross multiply
    606.49x = 837.26 × 411.03
  4. Step 4: Simplify right side
    606.49x = 344,136.11
  5. Step 5: Solve for x
    x = 344,136.11/606.49
  6. Step 6: Final answer
    x = 567.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.