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Finding the Fourth Proportional to 1,208.71, 1,809.99 and 768.61

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Solution

The fourth proportional to 1,208.71, 1,809.99 and 768.61 is: 1,150.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.71 : 1,809.99 = 768.61 : x
  2. Step 2: Convert to fraction form
    1,208.71/1,809.99 = 768.61/x
  3. Step 3: Cross multiply
    1,208.71x = 1,809.99 × 768.61
  4. Step 4: Simplify right side
    1,208.71x = 1,391,176.41
  5. Step 5: Solve for x
    x = 1,391,176.41/1,208.71
  6. Step 6: Final answer
    x = 1,150.96

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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.