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Finding the Fourth Proportional to 852.37, 1,172.36 and 686.21

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Solution

The fourth proportional to 852.37, 1,172.36 and 686.21 is: 943.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.37 : 1,172.36 = 686.21 : x
  2. Step 2: Convert to fraction form
    852.37/1,172.36 = 686.21/x
  3. Step 3: Cross multiply
    852.37x = 1,172.36 × 686.21
  4. Step 4: Simplify right side
    852.37x = 804,481.01
  5. Step 5: Solve for x
    x = 804,481.01/852.37
  6. Step 6: Final answer
    x = 943.82

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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.