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Finding the Fourth Proportional to 1,183.52, 1,630.44 and 828.80

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Solution

The fourth proportional to 1,183.52, 1,630.44 and 828.80 is: 1,141.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.52 : 1,630.44 = 828.80 : x
  2. Step 2: Convert to fraction form
    1,183.52/1,630.44 = 828.80/x
  3. Step 3: Cross multiply
    1,183.52x = 1,630.44 × 828.80
  4. Step 4: Simplify right side
    1,183.52x = 1,351,308.67
  5. Step 5: Solve for x
    x = 1,351,308.67/1,183.52
  6. Step 6: Final answer
    x = 1,141.77

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1.5x scale

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.