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Finding the Fourth Proportional to 1,286.72, 1,930.23 and 465.38

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Solution

The fourth proportional to 1,286.72, 1,930.23 and 465.38 is: 698.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.72 : 1,930.23 = 465.38 : x
  2. Step 2: Convert to fraction form
    1,286.72/1,930.23 = 465.38/x
  3. Step 3: Cross multiply
    1,286.72x = 1,930.23 × 465.38
  4. Step 4: Simplify right side
    1,286.72x = 898,290.44
  5. Step 5: Solve for x
    x = 898,290.44/1,286.72
  6. Step 6: Final answer
    x = 698.12

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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.