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Finding the Fourth Proportional to 1,086.75, 1,627.97 and 537.26

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Solution

The fourth proportional to 1,086.75, 1,627.97 and 537.26 is: 804.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.75 : 1,627.97 = 537.26 : x
  2. Step 2: Convert to fraction form
    1,086.75/1,627.97 = 537.26/x
  3. Step 3: Cross multiply
    1,086.75x = 1,627.97 × 537.26
  4. Step 4: Simplify right side
    1,086.75x = 874,632.34
  5. Step 5: Solve for x
    x = 874,632.34/1,086.75
  6. Step 6: Final answer
    x = 804.81

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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.