Home / 1,198.48-1,638.68-1,153.12

Finding the Fourth Proportional to 1,198.48, 1,638.68 and 1,153.12

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Solution

The fourth proportional to 1,198.48, 1,638.68 and 1,153.12 is: 1,576.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.48 : 1,638.68 = 1,153.12 : x
  2. Step 2: Convert to fraction form
    1,198.48/1,638.68 = 1,153.12/x
  3. Step 3: Cross multiply
    1,198.48x = 1,638.68 × 1,153.12
  4. Step 4: Simplify right side
    1,198.48x = 1,889,594.68
  5. Step 5: Solve for x
    x = 1,889,594.68/1,198.48
  6. Step 6: Final answer
    x = 1,576.66

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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.