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Finding the Fourth Proportional to 1,213.68, 1,674.48 and 741.41

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Solution

The fourth proportional to 1,213.68, 1,674.48 and 741.41 is: 1,022.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.68 : 1,674.48 = 741.41 : x
  2. Step 2: Convert to fraction form
    1,213.68/1,674.48 = 741.41/x
  3. Step 3: Cross multiply
    1,213.68x = 1,674.48 × 741.41
  4. Step 4: Simplify right side
    1,213.68x = 1,241,467.84
  5. Step 5: Solve for x
    x = 1,241,467.84/1,213.68
  6. Step 6: Final answer
    x = 1,022.90

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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.