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Finding the Fourth Proportional to 1,172.26, 1,764.25 and 881.26

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Solution

The fourth proportional to 1,172.26, 1,764.25 and 881.26 is: 1,326.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.26 : 1,764.25 = 881.26 : x
  2. Step 2: Convert to fraction form
    1,172.26/1,764.25 = 881.26/x
  3. Step 3: Cross multiply
    1,172.26x = 1,764.25 × 881.26
  4. Step 4: Simplify right side
    1,172.26x = 1,554,771.22
  5. Step 5: Solve for x
    x = 1,554,771.22/1,172.26
  6. Step 6: Final answer
    x = 1,326.31

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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.