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Finding the Fourth Proportional to 943.73, 1,406.03 and 897.27

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Solution

The fourth proportional to 943.73, 1,406.03 and 897.27 is: 1,336.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.73 : 1,406.03 = 897.27 : x
  2. Step 2: Convert to fraction form
    943.73/1,406.03 = 897.27/x
  3. Step 3: Cross multiply
    943.73x = 1,406.03 × 897.27
  4. Step 4: Simplify right side
    943.73x = 1,261,588.54
  5. Step 5: Solve for x
    x = 1,261,588.54/943.73
  6. Step 6: Final answer
    x = 1,336.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.