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Finding the Fourth Proportional to 774.32, 1,161.68 and 287.42

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Solution

The fourth proportional to 774.32, 1,161.68 and 287.42 is: 431.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.32 : 1,161.68 = 287.42 : x
  2. Step 2: Convert to fraction form
    774.32/1,161.68 = 287.42/x
  3. Step 3: Cross multiply
    774.32x = 1,161.68 × 287.42
  4. Step 4: Simplify right side
    774.32x = 333,882.82
  5. Step 5: Solve for x
    x = 333,882.82/774.32
  6. Step 6: Final answer
    x = 431.20

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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.