Home / 1,067.14-1,598.70-518.56

Finding the Fourth Proportional to 1,067.14, 1,598.70 and 518.56

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Solution

The fourth proportional to 1,067.14, 1,598.70 and 518.56 is: 776.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.14 : 1,598.70 = 518.56 : x
  2. Step 2: Convert to fraction form
    1,067.14/1,598.70 = 518.56/x
  3. Step 3: Cross multiply
    1,067.14x = 1,598.70 × 518.56
  4. Step 4: Simplify right side
    1,067.14x = 829,021.87
  5. Step 5: Solve for x
    x = 829,021.87/1,067.14
  6. Step 6: Final answer
    x = 776.86

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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.