Home / 1,286.70-1,929.54-464.73

Finding the Fourth Proportional to 1,286.70, 1,929.54 and 464.73

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Solution

The fourth proportional to 1,286.70, 1,929.54 and 464.73 is: 696.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.70 : 1,929.54 = 464.73 : x
  2. Step 2: Convert to fraction form
    1,286.70/1,929.54 = 464.73/x
  3. Step 3: Cross multiply
    1,286.70x = 1,929.54 × 464.73
  4. Step 4: Simplify right side
    1,286.70x = 896,715.12
  5. Step 5: Solve for x
    x = 896,715.12/1,286.70
  6. Step 6: Final answer
    x = 696.91

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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.