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Finding the Fourth Proportional to 805.92, 1,209 and 258.12

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Solution

The fourth proportional to 805.92, 1,209 and 258.12 is: 387.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.92 : 1,209 = 258.12 : x
  2. Step 2: Convert to fraction form
    805.92/1,209 = 258.12/x
  3. Step 3: Cross multiply
    805.92x = 1,209 × 258.12
  4. Step 4: Simplify right side
    805.92x = 312,067.08
  5. Step 5: Solve for x
    x = 312,067.08/805.92
  6. Step 6: Final answer
    x = 387.22

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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.