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Finding the Fourth Proportional to 806.94, 1,209.26 and 344.25

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Solution

The fourth proportional to 806.94, 1,209.26 and 344.25 is: 515.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.94 : 1,209.26 = 344.25 : x
  2. Step 2: Convert to fraction form
    806.94/1,209.26 = 344.25/x
  3. Step 3: Cross multiply
    806.94x = 1,209.26 × 344.25
  4. Step 4: Simplify right side
    806.94x = 416,281.71
  5. Step 5: Solve for x
    x = 416,281.71/806.94
  6. Step 6: Final answer
    x = 515.88

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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.