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Finding the Fourth Proportional to 808.86, 1,205.26 and 769.68

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Solution

The fourth proportional to 808.86, 1,205.26 and 769.68 is: 1,146.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.86 : 1,205.26 = 769.68 : x
  2. Step 2: Convert to fraction form
    808.86/1,205.26 = 769.68/x
  3. Step 3: Cross multiply
    808.86x = 1,205.26 × 769.68
  4. Step 4: Simplify right side
    808.86x = 927,664.52
  5. Step 5: Solve for x
    x = 927,664.52/808.86
  6. Step 6: Final answer
    x = 1,146.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.