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Finding the Fourth Proportional to 806.47, 1,209.71 and 229.35

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Solution

The fourth proportional to 806.47, 1,209.71 and 229.35 is: 344.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.47 : 1,209.71 = 229.35 : x
  2. Step 2: Convert to fraction form
    806.47/1,209.71 = 229.35/x
  3. Step 3: Cross multiply
    806.47x = 1,209.71 × 229.35
  4. Step 4: Simplify right side
    806.47x = 277,446.99
  5. Step 5: Solve for x
    x = 277,446.99/806.47
  6. Step 6: Final answer
    x = 344.03

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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.