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Finding the Fourth Proportional to 1,198.76, 1,798.38 and 377.11

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Solution

The fourth proportional to 1,198.76, 1,798.38 and 377.11 is: 565.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.76 : 1,798.38 = 377.11 : x
  2. Step 2: Convert to fraction form
    1,198.76/1,798.38 = 377.11/x
  3. Step 3: Cross multiply
    1,198.76x = 1,798.38 × 377.11
  4. Step 4: Simplify right side
    1,198.76x = 678,182.59
  5. Step 5: Solve for x
    x = 678,182.59/1,198.76
  6. Step 6: Final answer
    x = 565.74

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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.