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Finding the Fourth Proportional to 874.94, 1,201.08 and 866.73

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Solution

The fourth proportional to 874.94, 1,201.08 and 866.73 is: 1,189.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.94 : 1,201.08 = 866.73 : x
  2. Step 2: Convert to fraction form
    874.94/1,201.08 = 866.73/x
  3. Step 3: Cross multiply
    874.94x = 1,201.08 × 866.73
  4. Step 4: Simplify right side
    874.94x = 1,041,012.07
  5. Step 5: Solve for x
    x = 1,041,012.07/874.94
  6. Step 6: Final answer
    x = 1,189.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.