Home / 1,406.44-2,107.50-540.28

Finding the Fourth Proportional to 1,406.44, 2,107.50 and 540.28

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Solution

The fourth proportional to 1,406.44, 2,107.50 and 540.28 is: 809.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.44 : 2,107.50 = 540.28 : x
  2. Step 2: Convert to fraction form
    1,406.44/2,107.50 = 540.28/x
  3. Step 3: Cross multiply
    1,406.44x = 2,107.50 × 540.28
  4. Step 4: Simplify right side
    1,406.44x = 1,138,640.10
  5. Step 5: Solve for x
    x = 1,138,640.10/1,406.44
  6. Step 6: Final answer
    x = 809.59

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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.