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Finding the Fourth Proportional to 1,212.72, 1,674.04 and 820.88

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Solution

The fourth proportional to 1,212.72, 1,674.04 and 820.88 is: 1,133.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.72 : 1,674.04 = 820.88 : x
  2. Step 2: Convert to fraction form
    1,212.72/1,674.04 = 820.88/x
  3. Step 3: Cross multiply
    1,212.72x = 1,674.04 × 820.88
  4. Step 4: Simplify right side
    1,212.72x = 1,374,185.96
  5. Step 5: Solve for x
    x = 1,374,185.96/1,212.72
  6. Step 6: Final answer
    x = 1,133.14

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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.