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Finding the Fourth Proportional to 985.93, 1,361.97 and 897.27

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Solution

The fourth proportional to 985.93, 1,361.97 and 897.27 is: 1,239.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.93 : 1,361.97 = 897.27 : x
  2. Step 2: Convert to fraction form
    985.93/1,361.97 = 897.27/x
  3. Step 3: Cross multiply
    985.93x = 1,361.97 × 897.27
  4. Step 4: Simplify right side
    985.93x = 1,222,054.82
  5. Step 5: Solve for x
    x = 1,222,054.82/985.93
  6. Step 6: Final answer
    x = 1,239.49

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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.