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Finding the Fourth Proportional to 1,034.56, 1,427.40 and 825.46

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Solution

The fourth proportional to 1,034.56, 1,427.40 and 825.46 is: 1,138.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.56 : 1,427.40 = 825.46 : x
  2. Step 2: Convert to fraction form
    1,034.56/1,427.40 = 825.46/x
  3. Step 3: Cross multiply
    1,034.56x = 1,427.40 × 825.46
  4. Step 4: Simplify right side
    1,034.56x = 1,178,261.60
  5. Step 5: Solve for x
    x = 1,178,261.60/1,034.56
  6. Step 6: Final answer
    x = 1,138.90

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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.