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Finding the Fourth Proportional to 606.52, 910.12 and 259.82

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Solution

The fourth proportional to 606.52, 910.12 and 259.82 is: 389.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.52 : 910.12 = 259.82 : x
  2. Step 2: Convert to fraction form
    606.52/910.12 = 259.82/x
  3. Step 3: Cross multiply
    606.52x = 910.12 × 259.82
  4. Step 4: Simplify right side
    606.52x = 236,467.38
  5. Step 5: Solve for x
    x = 236,467.38/606.52
  6. Step 6: Final answer
    x = 389.88

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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.