Home / 1,027.22-1,542.68-944.80

Finding the Fourth Proportional to 1,027.22, 1,542.68 and 944.80

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Solution

The fourth proportional to 1,027.22, 1,542.68 and 944.80 is: 1,418.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.22 : 1,542.68 = 944.80 : x
  2. Step 2: Convert to fraction form
    1,027.22/1,542.68 = 944.80/x
  3. Step 3: Cross multiply
    1,027.22x = 1,542.68 × 944.80
  4. Step 4: Simplify right side
    1,027.22x = 1,457,529.52
  5. Step 5: Solve for x
    x = 1,457,529.52/1,027.22
  6. Step 6: Final answer
    x = 1,418.91

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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.