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Finding the Fourth Proportional to 1,198.96, 1,798.35 and 333.34

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Solution

The fourth proportional to 1,198.96, 1,798.35 and 333.34 is: 499.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.96 : 1,798.35 = 333.34 : x
  2. Step 2: Convert to fraction form
    1,198.96/1,798.35 = 333.34/x
  3. Step 3: Cross multiply
    1,198.96x = 1,798.35 × 333.34
  4. Step 4: Simplify right side
    1,198.96x = 599,461.99
  5. Step 5: Solve for x
    x = 599,461.99/1,198.96
  6. Step 6: Final answer
    x = 499.98

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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.