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Finding the Fourth Proportional to 1,201.77, 1,661.27 and 855.45

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Solution

The fourth proportional to 1,201.77, 1,661.27 and 855.45 is: 1,182.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.77 : 1,661.27 = 855.45 : x
  2. Step 2: Convert to fraction form
    1,201.77/1,661.27 = 855.45/x
  3. Step 3: Cross multiply
    1,201.77x = 1,661.27 × 855.45
  4. Step 4: Simplify right side
    1,201.77x = 1,421,129.14
  5. Step 5: Solve for x
    x = 1,421,129.14/1,201.77
  6. Step 6: Final answer
    x = 1,182.53

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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.