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Finding the Fourth Proportional to 855.83, 1,277.66 and 825.45

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Solution

The fourth proportional to 855.83, 1,277.66 and 825.45 is: 1,232.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.83 : 1,277.66 = 825.45 : x
  2. Step 2: Convert to fraction form
    855.83/1,277.66 = 825.45/x
  3. Step 3: Cross multiply
    855.83x = 1,277.66 × 825.45
  4. Step 4: Simplify right side
    855.83x = 1,054,652.85
  5. Step 5: Solve for x
    x = 1,054,652.85/855.83
  6. Step 6: Final answer
    x = 1,232.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.