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Finding the Fourth Proportional to 606, 908.64 and 259.08

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Solution

The fourth proportional to 606, 908.64 and 259.08 is: 388.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    606 : 908.64 = 259.08 : x
  2. Step 2: Convert to fraction form
    606/908.64 = 259.08/x
  3. Step 3: Cross multiply
    606x = 908.64 × 259.08
  4. Step 4: Simplify right side
    606x = 235,410.45
  5. Step 5: Solve for x
    x = 235,410.45/606
  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.