Home / 1,604.08-2,213.70-905.68

Finding the Fourth Proportional to 1,604.08, 2,213.70 and 905.68

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Solution

The fourth proportional to 1,604.08, 2,213.70 and 905.68 is: 1,249.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.08 : 2,213.70 = 905.68 : x
  2. Step 2: Convert to fraction form
    1,604.08/2,213.70 = 905.68/x
  3. Step 3: Cross multiply
    1,604.08x = 2,213.70 × 905.68
  4. Step 4: Simplify right side
    1,604.08x = 2,004,903.82
  5. Step 5: Solve for x
    x = 2,004,903.82/1,604.08
  6. Step 6: Final answer
    x = 1,249.88

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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.