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Finding the Fourth Proportional to 1,198.10, 1,797.02 and 376.35

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Solution

The fourth proportional to 1,198.10, 1,797.02 and 376.35 is: 564.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.10 : 1,797.02 = 376.35 : x
  2. Step 2: Convert to fraction form
    1,198.10/1,797.02 = 376.35/x
  3. Step 3: Cross multiply
    1,198.10x = 1,797.02 × 376.35
  4. Step 4: Simplify right side
    1,198.10x = 676,303.15
  5. Step 5: Solve for x
    x = 676,303.15/1,198.10
  6. Step 6: Final answer
    x = 564.48

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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.