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Finding the Fourth Proportional to 889.14, 1,327.28 and 825.04

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Solution

The fourth proportional to 889.14, 1,327.28 and 825.04 is: 1,231.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.14 : 1,327.28 = 825.04 : x
  2. Step 2: Convert to fraction form
    889.14/1,327.28 = 825.04/x
  3. Step 3: Cross multiply
    889.14x = 1,327.28 × 825.04
  4. Step 4: Simplify right side
    889.14x = 1,095,059.09
  5. Step 5: Solve for x
    x = 1,095,059.09/889.14
  6. Step 6: Final answer
    x = 1,231.59

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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.