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Finding the Fourth Proportional to 853.59, 1,172.31 and 755.22

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Solution

The fourth proportional to 853.59, 1,172.31 and 755.22 is: 1,037.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.59 : 1,172.31 = 755.22 : x
  2. Step 2: Convert to fraction form
    853.59/1,172.31 = 755.22/x
  3. Step 3: Cross multiply
    853.59x = 1,172.31 × 755.22
  4. Step 4: Simplify right side
    853.59x = 885,351.96
  5. Step 5: Solve for x
    x = 885,351.96/853.59
  6. Step 6: Final answer
    x = 1,037.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.