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Finding the Fourth Proportional to 1,072.62, 1,608.69 and 524.25

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Solution

The fourth proportional to 1,072.62, 1,608.69 and 524.25 is: 786.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.62 : 1,608.69 = 524.25 : x
  2. Step 2: Convert to fraction form
    1,072.62/1,608.69 = 524.25/x
  3. Step 3: Cross multiply
    1,072.62x = 1,608.69 × 524.25
  4. Step 4: Simplify right side
    1,072.62x = 843,355.73
  5. Step 5: Solve for x
    x = 843,355.73/1,072.62
  6. Step 6: Final answer
    x = 786.26

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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.