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Finding the Fourth Proportional to 1,168.96, 1,612.74 and 820.12

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Solution

The fourth proportional to 1,168.96, 1,612.74 and 820.12 is: 1,131.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.96 : 1,612.74 = 820.12 : x
  2. Step 2: Convert to fraction form
    1,168.96/1,612.74 = 820.12/x
  3. Step 3: Cross multiply
    1,168.96x = 1,612.74 × 820.12
  4. Step 4: Simplify right side
    1,168.96x = 1,322,640.33
  5. Step 5: Solve for x
    x = 1,322,640.33/1,168.96
  6. Step 6: Final answer
    x = 1,131.47

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