Home / 1,200.58-1,792.21-1,109.14

Finding the Fourth Proportional to 1,200.58, 1,792.21 and 1,109.14

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Solution

The fourth proportional to 1,200.58, 1,792.21 and 1,109.14 is: 1,655.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.58 : 1,792.21 = 1,109.14 : x
  2. Step 2: Convert to fraction form
    1,200.58/1,792.21 = 1,109.14/x
  3. Step 3: Cross multiply
    1,200.58x = 1,792.21 × 1,109.14
  4. Step 4: Simplify right side
    1,200.58x = 1,987,811.80
  5. Step 5: Solve for x
    x = 1,987,811.80/1,200.58
  6. Step 6: Final answer
    x = 1,655.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.