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Finding the Fourth Proportional to 899.78, 1,241.33 and 664.27

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Solution

The fourth proportional to 899.78, 1,241.33 and 664.27 is: 916.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.78 : 1,241.33 = 664.27 : x
  2. Step 2: Convert to fraction form
    899.78/1,241.33 = 664.27/x
  3. Step 3: Cross multiply
    899.78x = 1,241.33 × 664.27
  4. Step 4: Simplify right side
    899.78x = 824,571.85
  5. Step 5: Solve for x
    x = 824,571.85/899.78
  6. Step 6: Final answer
    x = 916.42

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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.