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Finding the Fourth Proportional to 1,034.86, 1,427.48 and 755.42

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Solution

The fourth proportional to 1,034.86, 1,427.48 and 755.42 is: 1,042.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.86 : 1,427.48 = 755.42 : x
  2. Step 2: Convert to fraction form
    1,034.86/1,427.48 = 755.42/x
  3. Step 3: Cross multiply
    1,034.86x = 1,427.48 × 755.42
  4. Step 4: Simplify right side
    1,034.86x = 1,078,346.94
  5. Step 5: Solve for x
    x = 1,078,346.94/1,034.86
  6. Step 6: Final answer
    x = 1,042.02

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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.