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Finding the Fourth Proportional to 1,198.12, 1,653.28 and 674.12

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Solution

The fourth proportional to 1,198.12, 1,653.28 and 674.12 is: 930.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.12 : 1,653.28 = 674.12 : x
  2. Step 2: Convert to fraction form
    1,198.12/1,653.28 = 674.12/x
  3. Step 3: Cross multiply
    1,198.12x = 1,653.28 × 674.12
  4. Step 4: Simplify right side
    1,198.12x = 1,114,509.11
  5. Step 5: Solve for x
    x = 1,114,509.11/1,198.12
  6. Step 6: Final answer
    x = 930.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.