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Finding the Fourth Proportional to 806.06, 1,209.22 and 286.14

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Solution

The fourth proportional to 806.06, 1,209.22 and 286.14 is: 429.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.06 : 1,209.22 = 286.14 : x
  2. Step 2: Convert to fraction form
    806.06/1,209.22 = 286.14/x
  3. Step 3: Cross multiply
    806.06x = 1,209.22 × 286.14
  4. Step 4: Simplify right side
    806.06x = 346,006.21
  5. Step 5: Solve for x
    x = 346,006.21/806.06
  6. Step 6: Final answer
    x = 429.26

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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.