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Finding the Fourth Proportional to 1,212.46, 1,673.85 and 820.18

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Solution

The fourth proportional to 1,212.46, 1,673.85 and 820.18 is: 1,132.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.46 : 1,673.85 = 820.18 : x
  2. Step 2: Convert to fraction form
    1,212.46/1,673.85 = 820.18/x
  3. Step 3: Cross multiply
    1,212.46x = 1,673.85 × 820.18
  4. Step 4: Simplify right side
    1,212.46x = 1,372,858.29
  5. Step 5: Solve for x
    x = 1,372,858.29/1,212.46
  6. Step 6: Final answer
    x = 1,132.29

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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.