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Finding the Fourth Proportional to 774, 1,160.70 and 311.82

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Solution

The fourth proportional to 774, 1,160.70 and 311.82 is: 467.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    774 : 1,160.70 = 311.82 : x
  2. Step 2: Convert to fraction form
    774/1,160.70 = 311.82/x
  3. Step 3: Cross multiply
    774x = 1,160.70 × 311.82
  4. Step 4: Simplify right side
    774x = 361,929.47
  5. Step 5: Solve for x
    x = 361,929.47/774
  6. Step 6: Final answer
    x = 467.61

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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.