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Finding the Fourth Proportional to 866.08, 1,305.20 and 811.41

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Solution

The fourth proportional to 866.08, 1,305.20 and 811.41 is: 1,222.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.08 : 1,305.20 = 811.41 : x
  2. Step 2: Convert to fraction form
    866.08/1,305.20 = 811.41/x
  3. Step 3: Cross multiply
    866.08x = 1,305.20 × 811.41
  4. Step 4: Simplify right side
    866.08x = 1,059,052.33
  5. Step 5: Solve for x
    x = 1,059,052.33/866.08
  6. Step 6: Final answer
    x = 1,222.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.