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Finding the Fourth Proportional to 803.20, 1,198.19 and 742

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Solution

The fourth proportional to 803.20, 1,198.19 and 742 is: 1,106.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.20 : 1,198.19 = 742 : x
  2. Step 2: Convert to fraction form
    803.20/1,198.19 = 742/x
  3. Step 3: Cross multiply
    803.20x = 1,198.19 × 742
  4. Step 4: Simplify right side
    803.20x = 889,056.98
  5. Step 5: Solve for x
    x = 889,056.98/803.20
  6. Step 6: Final answer
    x = 1,106.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.