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Finding the Fourth Proportional to 1,034.00, 1,425.26 and 812.57

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Solution

The fourth proportional to 1,034.00, 1,425.26 and 812.57 is: 1,120.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.00 : 1,425.26 = 812.57 : x
  2. Step 2: Convert to fraction form
    1,034.00/1,425.26 = 812.57/x
  3. Step 3: Cross multiply
    1,034.00x = 1,425.26 × 812.57
  4. Step 4: Simplify right side
    1,034.00x = 1,158,112.33
  5. Step 5: Solve for x
    x = 1,158,112.33/1,034.00
  6. Step 6: Final answer
    x = 1,120.04

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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.