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Finding the Fourth Proportional to 606.27, 908.64 and 259.20

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Solution

The fourth proportional to 606.27, 908.64 and 259.20 is: 388.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.27 : 908.64 = 259.20 : x
  2. Step 2: Convert to fraction form
    606.27/908.64 = 259.20/x
  3. Step 3: Cross multiply
    606.27x = 908.64 × 259.20
  4. Step 4: Simplify right side
    606.27x = 235,519.49
  5. Step 5: Solve for x
    x = 235,519.49/606.27
  6. Step 6: Final answer
    x = 388.47

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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.