Home / 1,694.28-2,541.90-540.12

Finding the Fourth Proportional to 1,694.28, 2,541.90 and 540.12

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Solution

The fourth proportional to 1,694.28, 2,541.90 and 540.12 is: 810.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.28 : 2,541.90 = 540.12 : x
  2. Step 2: Convert to fraction form
    1,694.28/2,541.90 = 540.12/x
  3. Step 3: Cross multiply
    1,694.28x = 2,541.90 × 540.12
  4. Step 4: Simplify right side
    1,694.28x = 1,372,931.03
  5. Step 5: Solve for x
    x = 1,372,931.03/1,694.28
  6. Step 6: Final answer
    x = 810.33

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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.