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Finding the Fourth Proportional to 774.34, 1,161.90 and 287.44

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Solution

The fourth proportional to 774.34, 1,161.90 and 287.44 is: 431.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.34 : 1,161.90 = 287.44 : x
  2. Step 2: Convert to fraction form
    774.34/1,161.90 = 287.44/x
  3. Step 3: Cross multiply
    774.34x = 1,161.90 × 287.44
  4. Step 4: Simplify right side
    774.34x = 333,976.54
  5. Step 5: Solve for x
    x = 333,976.54/774.34
  6. Step 6: Final answer
    x = 431.30

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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.