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Finding the Fourth Proportional to 1,186.05, 1,636.94 and 662.09

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Solution

The fourth proportional to 1,186.05, 1,636.94 and 662.09 is: 913.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.05 : 1,636.94 = 662.09 : x
  2. Step 2: Convert to fraction form
    1,186.05/1,636.94 = 662.09/x
  3. Step 3: Cross multiply
    1,186.05x = 1,636.94 × 662.09
  4. Step 4: Simplify right side
    1,186.05x = 1,083,795.08
  5. Step 5: Solve for x
    x = 1,083,795.08/1,186.05
  6. Step 6: Final answer
    x = 913.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.