Home / 1,604.14-2,213.45-905.38

Finding the Fourth Proportional to 1,604.14, 2,213.45 and 905.38

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Solution

The fourth proportional to 1,604.14, 2,213.45 and 905.38 is: 1,249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.14 : 2,213.45 = 905.38 : x
  2. Step 2: Convert to fraction form
    1,604.14/2,213.45 = 905.38/x
  3. Step 3: Cross multiply
    1,604.14x = 2,213.45 × 905.38
  4. Step 4: Simplify right side
    1,604.14x = 2,004,013.36
  5. Step 5: Solve for x
    x = 2,004,013.36/1,604.14
  6. Step 6: Final answer
    x = 1,249.28

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1.5x scale

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.