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Finding the Fourth Proportional to 1,183.82, 1,782.13 and 1,064.75

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Solution

The fourth proportional to 1,183.82, 1,782.13 and 1,064.75 is: 1,602.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.82 : 1,782.13 = 1,064.75 : x
  2. Step 2: Convert to fraction form
    1,183.82/1,782.13 = 1,064.75/x
  3. Step 3: Cross multiply
    1,183.82x = 1,782.13 × 1,064.75
  4. Step 4: Simplify right side
    1,183.82x = 1,897,517.59
  5. Step 5: Solve for x
    x = 1,897,517.59/1,183.82
  6. Step 6: Final answer
    x = 1,602.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.