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Finding the Fourth Proportional to 811.66, 1,208.45 and 801.94

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Solution

The fourth proportional to 811.66, 1,208.45 and 801.94 is: 1,193.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.66 : 1,208.45 = 801.94 : x
  2. Step 2: Convert to fraction form
    811.66/1,208.45 = 801.94/x
  3. Step 3: Cross multiply
    811.66x = 1,208.45 × 801.94
  4. Step 4: Simplify right side
    811.66x = 969,104.39
  5. Step 5: Solve for x
    x = 969,104.39/811.66
  6. Step 6: Final answer
    x = 1,193.98

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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.