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Finding the Fourth Proportional to 1,172.25, 1,618.80 and 863.37

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Solution

The fourth proportional to 1,172.25, 1,618.80 and 863.37 is: 1,192.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.25 : 1,618.80 = 863.37 : x
  2. Step 2: Convert to fraction form
    1,172.25/1,618.80 = 863.37/x
  3. Step 3: Cross multiply
    1,172.25x = 1,618.80 × 863.37
  4. Step 4: Simplify right side
    1,172.25x = 1,397,623.36
  5. Step 5: Solve for x
    x = 1,397,623.36/1,172.25
  6. Step 6: Final answer
    x = 1,192.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.