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Finding the Fourth Proportional to 774.04, 1,161.11 and 311.82

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Solution

The fourth proportional to 774.04, 1,161.11 and 311.82 is: 467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.04 : 1,161.11 = 311.82 : x
  2. Step 2: Convert to fraction form
    774.04/1,161.11 = 311.82/x
  3. Step 3: Cross multiply
    774.04x = 1,161.11 × 311.82
  4. Step 4: Simplify right side
    774.04x = 362,052.58
  5. Step 5: Solve for x
    x = 362,052.58/774.04
  6. Step 6: Final answer
    x = 467.75

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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.