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Finding the Fourth Proportional to 874.45, 1,205.89 and 664.63

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Solution

The fourth proportional to 874.45, 1,205.89 and 664.63 is: 916.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.45 : 1,205.89 = 664.63 : x
  2. Step 2: Convert to fraction form
    874.45/1,205.89 = 664.63/x
  3. Step 3: Cross multiply
    874.45x = 1,205.89 × 664.63
  4. Step 4: Simplify right side
    874.45x = 801,469.39
  5. Step 5: Solve for x
    x = 801,469.39/874.45
  6. Step 6: Final answer
    x = 916.55

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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.