Home / 798.03-1,197.27-311.22

Finding the Fourth Proportional to 798.03, 1,197.27 and 311.22

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Solution

The fourth proportional to 798.03, 1,197.27 and 311.22 is: 466.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.03 : 1,197.27 = 311.22 : x
  2. Step 2: Convert to fraction form
    798.03/1,197.27 = 311.22/x
  3. Step 3: Cross multiply
    798.03x = 1,197.27 × 311.22
  4. Step 4: Simplify right side
    798.03x = 372,614.37
  5. Step 5: Solve for x
    x = 372,614.37/798.03
  6. Step 6: Final answer
    x = 466.92

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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.