Home / 1,027.25-1,418.34-927.47

Finding the Fourth Proportional to 1,027.25, 1,418.34 and 927.47

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Solution

The fourth proportional to 1,027.25, 1,418.34 and 927.47 is: 1,280.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.25 : 1,418.34 = 927.47 : x
  2. Step 2: Convert to fraction form
    1,027.25/1,418.34 = 927.47/x
  3. Step 3: Cross multiply
    1,027.25x = 1,418.34 × 927.47
  4. Step 4: Simplify right side
    1,027.25x = 1,315,466.85
  5. Step 5: Solve for x
    x = 1,315,466.85/1,027.25
  6. Step 6: Final answer
    x = 1,280.57

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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.