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Finding the Fourth Proportional to 1,198.68, 1,798.12 and 332.99

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Solution

The fourth proportional to 1,198.68, 1,798.12 and 332.99 is: 499.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.68 : 1,798.12 = 332.99 : x
  2. Step 2: Convert to fraction form
    1,198.68/1,798.12 = 332.99/x
  3. Step 3: Cross multiply
    1,198.68x = 1,798.12 × 332.99
  4. Step 4: Simplify right side
    1,198.68x = 598,759.64
  5. Step 5: Solve for x
    x = 598,759.64/1,198.68
  6. Step 6: Final answer
    x = 499.52

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Double scale
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1.5x scale

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.