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Finding the Fourth Proportional to 811.69, 1,127.69 and 801.97

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Solution

The fourth proportional to 811.69, 1,127.69 and 801.97 is: 1,114.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.69 : 1,127.69 = 801.97 : x
  2. Step 2: Convert to fraction form
    811.69/1,127.69 = 801.97/x
  3. Step 3: Cross multiply
    811.69x = 1,127.69 × 801.97
  4. Step 4: Simplify right side
    811.69x = 904,373.55
  5. Step 5: Solve for x
    x = 904,373.55/811.69
  6. Step 6: Final answer
    x = 1,114.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.