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Finding the Fourth Proportional to 1,161.54, 1,601.49 and 767.94

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Solution

The fourth proportional to 1,161.54, 1,601.49 and 767.94 is: 1,058.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.54 : 1,601.49 = 767.94 : x
  2. Step 2: Convert to fraction form
    1,161.54/1,601.49 = 767.94/x
  3. Step 3: Cross multiply
    1,161.54x = 1,601.49 × 767.94
  4. Step 4: Simplify right side
    1,161.54x = 1,229,848.23
  5. Step 5: Solve for x
    x = 1,229,848.23/1,161.54
  6. Step 6: Final answer
    x = 1,058.81

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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.