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Finding the Fourth Proportional to 606.33, 909.14 and 414.09

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Solution

The fourth proportional to 606.33, 909.14 and 414.09 is: 620.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.33 : 909.14 = 414.09 : x
  2. Step 2: Convert to fraction form
    606.33/909.14 = 414.09/x
  3. Step 3: Cross multiply
    606.33x = 909.14 × 414.09
  4. Step 4: Simplify right side
    606.33x = 376,463.71
  5. Step 5: Solve for x
    x = 376,463.71/606.33
  6. Step 6: Final answer
    x = 620.89

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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.