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Finding the Fourth Proportional to 871.52, 1,201.74 and 851.36

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Solution

The fourth proportional to 871.52, 1,201.74 and 851.36 is: 1,173.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.52 : 1,201.74 = 851.36 : x
  2. Step 2: Convert to fraction form
    871.52/1,201.74 = 851.36/x
  3. Step 3: Cross multiply
    871.52x = 1,201.74 × 851.36
  4. Step 4: Simplify right side
    871.52x = 1,023,113.37
  5. Step 5: Solve for x
    x = 1,023,113.37/871.52
  6. Step 6: Final answer
    x = 1,173.94

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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.