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Finding the Fourth Proportional to 774.91, 1,161.87 and 287.74

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Solution

The fourth proportional to 774.91, 1,161.87 and 287.74 is: 431.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.91 : 1,161.87 = 287.74 : x
  2. Step 2: Convert to fraction form
    774.91/1,161.87 = 287.74/x
  3. Step 3: Cross multiply
    774.91x = 1,161.87 × 287.74
  4. Step 4: Simplify right side
    774.91x = 334,316.47
  5. Step 5: Solve for x
    x = 334,316.47/774.91
  6. Step 6: Final answer
    x = 431.43

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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.