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Finding the Fourth Proportional to 1,183.36, 1,631.33 and 828.17

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Solution

The fourth proportional to 1,183.36, 1,631.33 and 828.17 is: 1,141.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.36 : 1,631.33 = 828.17 : x
  2. Step 2: Convert to fraction form
    1,183.36/1,631.33 = 828.17/x
  3. Step 3: Cross multiply
    1,183.36x = 1,631.33 × 828.17
  4. Step 4: Simplify right side
    1,183.36x = 1,351,018.50
  5. Step 5: Solve for x
    x = 1,351,018.50/1,183.36
  6. Step 6: Final answer
    x = 1,141.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.