Home / 1,406.13-2,108.13-712.06

Finding the Fourth Proportional to 1,406.13, 2,108.13 and 712.06

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Solution

The fourth proportional to 1,406.13, 2,108.13 and 712.06 is: 1,067.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.13 : 2,108.13 = 712.06 : x
  2. Step 2: Convert to fraction form
    1,406.13/2,108.13 = 712.06/x
  3. Step 3: Cross multiply
    1,406.13x = 2,108.13 × 712.06
  4. Step 4: Simplify right side
    1,406.13x = 1,501,115.05
  5. Step 5: Solve for x
    x = 1,501,115.05/1,406.13
  6. Step 6: Final answer
    x = 1,067.55

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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.