Home / 1,286.62-1,929.41-464.44

Finding the Fourth Proportional to 1,286.62, 1,929.41 and 464.44

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Solution

The fourth proportional to 1,286.62, 1,929.41 and 464.44 is: 696.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.62 : 1,929.41 = 464.44 : x
  2. Step 2: Convert to fraction form
    1,286.62/1,929.41 = 464.44/x
  3. Step 3: Cross multiply
    1,286.62x = 1,929.41 × 464.44
  4. Step 4: Simplify right side
    1,286.62x = 896,095.18
  5. Step 5: Solve for x
    x = 896,095.18/1,286.62
  6. Step 6: Final answer
    x = 696.47

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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.