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Finding the Fourth Proportional to 1,015.36, 1,523.03 and 382.25

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Solution

The fourth proportional to 1,015.36, 1,523.03 and 382.25 is: 573.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.36 : 1,523.03 = 382.25 : x
  2. Step 2: Convert to fraction form
    1,015.36/1,523.03 = 382.25/x
  3. Step 3: Cross multiply
    1,015.36x = 1,523.03 × 382.25
  4. Step 4: Simplify right side
    1,015.36x = 582,175.37
  5. Step 5: Solve for x
    x = 582,175.37/1,015.36
  6. Step 6: Final answer
    x = 573.37

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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.