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Finding the Fourth Proportional to 1,186.26, 1,778.72 and 536.37

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Solution

The fourth proportional to 1,186.26, 1,778.72 and 536.37 is: 804.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.26 : 1,778.72 = 536.37 : x
  2. Step 2: Convert to fraction form
    1,186.26/1,778.72 = 536.37/x
  3. Step 3: Cross multiply
    1,186.26x = 1,778.72 × 536.37
  4. Step 4: Simplify right side
    1,186.26x = 954,049.36
  5. Step 5: Solve for x
    x = 954,049.36/1,186.26
  6. Step 6: Final answer
    x = 804.25

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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.