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Finding the Fourth Proportional to 1,213.60, 1,673.40 and 820.84

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Solution

The fourth proportional to 1,213.60, 1,673.40 and 820.84 is: 1,131.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.60 : 1,673.40 = 820.84 : x
  2. Step 2: Convert to fraction form
    1,213.60/1,673.40 = 820.84/x
  3. Step 3: Cross multiply
    1,213.60x = 1,673.40 × 820.84
  4. Step 4: Simplify right side
    1,213.60x = 1,373,593.66
  5. Step 5: Solve for x
    x = 1,373,593.66/1,213.60
  6. Step 6: Final answer
    x = 1,131.83

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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.