Home / 1,027.54-1,541.31-334.27

Finding the Fourth Proportional to 1,027.54, 1,541.31 and 334.27

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Solution

The fourth proportional to 1,027.54, 1,541.31 and 334.27 is: 501.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.54 : 1,541.31 = 334.27 : x
  2. Step 2: Convert to fraction form
    1,027.54/1,541.31 = 334.27/x
  3. Step 3: Cross multiply
    1,027.54x = 1,541.31 × 334.27
  4. Step 4: Simplify right side
    1,027.54x = 515,213.69
  5. Step 5: Solve for x
    x = 515,213.69/1,027.54
  6. Step 6: Final answer
    x = 501.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.