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Finding the Fourth Proportional to 1,072.02, 1,608.19 and 523.85

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Solution

The fourth proportional to 1,072.02, 1,608.19 and 523.85 is: 785.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.02 : 1,608.19 = 523.85 : x
  2. Step 2: Convert to fraction form
    1,072.02/1,608.19 = 523.85/x
  3. Step 3: Cross multiply
    1,072.02x = 1,608.19 × 523.85
  4. Step 4: Simplify right side
    1,072.02x = 842,450.33
  5. Step 5: Solve for x
    x = 842,450.33/1,072.02
  6. Step 6: Final answer
    x = 785.85

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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.