Home / 1,405.26-2,109.19-712.42

Finding the Fourth Proportional to 1,405.26, 2,109.19 and 712.42

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Solution

The fourth proportional to 1,405.26, 2,109.19 and 712.42 is: 1,069.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.26 : 2,109.19 = 712.42 : x
  2. Step 2: Convert to fraction form
    1,405.26/2,109.19 = 712.42/x
  3. Step 3: Cross multiply
    1,405.26x = 2,109.19 × 712.42
  4. Step 4: Simplify right side
    1,405.26x = 1,502,629.14
  5. Step 5: Solve for x
    x = 1,502,629.14/1,405.26
  6. Step 6: Final answer
    x = 1,069.29

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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.