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Finding the Fourth Proportional to 879.75, 1,213.19 and 741.31

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Solution

The fourth proportional to 879.75, 1,213.19 and 741.31 is: 1,022.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.75 : 1,213.19 = 741.31 : x
  2. Step 2: Convert to fraction form
    879.75/1,213.19 = 741.31/x
  3. Step 3: Cross multiply
    879.75x = 1,213.19 × 741.31
  4. Step 4: Simplify right side
    879.75x = 899,349.88
  5. Step 5: Solve for x
    x = 899,349.88/879.75
  6. Step 6: Final answer
    x = 1,022.28

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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.