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Finding the Fourth Proportional to 805.97, 1,209.12 and 286.11

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Solution

The fourth proportional to 805.97, 1,209.12 and 286.11 is: 429.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.97 : 1,209.12 = 286.11 : x
  2. Step 2: Convert to fraction form
    805.97/1,209.12 = 286.11/x
  3. Step 3: Cross multiply
    805.97x = 1,209.12 × 286.11
  4. Step 4: Simplify right side
    805.97x = 345,941.32
  5. Step 5: Solve for x
    x = 345,941.32/805.97
  6. Step 6: Final answer
    x = 429.22

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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.