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Finding the Fourth Proportional to 606.33, 908.82 and 259.95

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Solution

The fourth proportional to 606.33, 908.82 and 259.95 is: 389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.33 : 908.82 = 259.95 : x
  2. Step 2: Convert to fraction form
    606.33/908.82 = 259.95/x
  3. Step 3: Cross multiply
    606.33x = 908.82 × 259.95
  4. Step 4: Simplify right side
    606.33x = 236,251.17
  5. Step 5: Solve for x
    x = 236,251.17/606.33
  6. Step 6: Final answer
    x = 389.64

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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.