Home / 1,286.44-1,929.66-312.54

Finding the Fourth Proportional to 1,286.44, 1,929.66 and 312.54

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Solution

The fourth proportional to 1,286.44, 1,929.66 and 312.54 is: 468.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.44 : 1,929.66 = 312.54 : x
  2. Step 2: Convert to fraction form
    1,286.44/1,929.66 = 312.54/x
  3. Step 3: Cross multiply
    1,286.44x = 1,929.66 × 312.54
  4. Step 4: Simplify right side
    1,286.44x = 603,095.94
  5. Step 5: Solve for x
    x = 603,095.94/1,286.44
  6. Step 6: Final answer
    x = 468.81

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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.