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Finding the Fourth Proportional to 806.09, 1,209.44 and 286.15

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Solution

The fourth proportional to 806.09, 1,209.44 and 286.15 is: 429.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.09 : 1,209.44 = 286.15 : x
  2. Step 2: Convert to fraction form
    806.09/1,209.44 = 286.15/x
  3. Step 3: Cross multiply
    806.09x = 1,209.44 × 286.15
  4. Step 4: Simplify right side
    806.09x = 346,081.26
  5. Step 5: Solve for x
    x = 346,081.26/806.09
  6. Step 6: Final answer
    x = 429.33

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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.