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Finding the Fourth Proportional to 1,213.23, 1,673.69 and 793.43

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Solution

The fourth proportional to 1,213.23, 1,673.69 and 793.43 is: 1,094.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.23 : 1,673.69 = 793.43 : x
  2. Step 2: Convert to fraction form
    1,213.23/1,673.69 = 793.43/x
  3. Step 3: Cross multiply
    1,213.23x = 1,673.69 × 793.43
  4. Step 4: Simplify right side
    1,213.23x = 1,327,943.52
  5. Step 5: Solve for x
    x = 1,327,943.52/1,213.23
  6. Step 6: Final answer
    x = 1,094.55

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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.