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Finding the Fourth Proportional to 1,171.77, 1,616.24 and 935.42

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Solution

The fourth proportional to 1,171.77, 1,616.24 and 935.42 is: 1,290.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.77 : 1,616.24 = 935.42 : x
  2. Step 2: Convert to fraction form
    1,171.77/1,616.24 = 935.42/x
  3. Step 3: Cross multiply
    1,171.77x = 1,616.24 × 935.42
  4. Step 4: Simplify right side
    1,171.77x = 1,511,850.46
  5. Step 5: Solve for x
    x = 1,511,850.46/1,171.77
  6. Step 6: Final answer
    x = 1,290.23

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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.