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Finding the Fourth Proportional to 606.41, 908.84 and 259.34

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Solution

The fourth proportional to 606.41, 908.84 and 259.34 is: 388.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.41 : 908.84 = 259.34 : x
  2. Step 2: Convert to fraction form
    606.41/908.84 = 259.34/x
  3. Step 3: Cross multiply
    606.41x = 908.84 × 259.34
  4. Step 4: Simplify right side
    606.41x = 235,697.27
  5. Step 5: Solve for x
    x = 235,697.27/606.41
  6. Step 6: Final answer
    x = 388.68

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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.