Home / 1,198.14-1,642.65-1,176.27

Finding the Fourth Proportional to 1,198.14, 1,642.65 and 1,176.27

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Solution

The fourth proportional to 1,198.14, 1,642.65 and 1,176.27 is: 1,612.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.14 : 1,642.65 = 1,176.27 : x
  2. Step 2: Convert to fraction form
    1,198.14/1,642.65 = 1,176.27/x
  3. Step 3: Cross multiply
    1,198.14x = 1,642.65 × 1,176.27
  4. Step 4: Simplify right side
    1,198.14x = 1,932,199.92
  5. Step 5: Solve for x
    x = 1,932,199.92/1,198.14
  6. Step 6: Final answer
    x = 1,612.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.