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Finding the Fourth Proportional to 1,072.41, 1,477.56 and 894.73

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Solution

The fourth proportional to 1,072.41, 1,477.56 and 894.73 is: 1,232.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.41 : 1,477.56 = 894.73 : x
  2. Step 2: Convert to fraction form
    1,072.41/1,477.56 = 894.73/x
  3. Step 3: Cross multiply
    1,072.41x = 1,477.56 × 894.73
  4. Step 4: Simplify right side
    1,072.41x = 1,322,017.26
  5. Step 5: Solve for x
    x = 1,322,017.26/1,072.41
  6. Step 6: Final answer
    x = 1,232.75

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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.