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Finding the Fourth Proportional to 1,185.46, 1,636 and 661.48

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Solution

The fourth proportional to 1,185.46, 1,636 and 661.48 is: 912.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.46 : 1,636 = 661.48 : x
  2. Step 2: Convert to fraction form
    1,185.46/1,636 = 661.48/x
  3. Step 3: Cross multiply
    1,185.46x = 1,636 × 661.48
  4. Step 4: Simplify right side
    1,185.46x = 1,082,181.28
  5. Step 5: Solve for x
    x = 1,082,181.28/1,185.46
  6. Step 6: Final answer
    x = 912.88

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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.