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Finding the Fourth Proportional to 855.46, 1,185.52 and 845.02

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Solution

The fourth proportional to 855.46, 1,185.52 and 845.02 is: 1,171.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.46 : 1,185.52 = 845.02 : x
  2. Step 2: Convert to fraction form
    855.46/1,185.52 = 845.02/x
  3. Step 3: Cross multiply
    855.46x = 1,185.52 × 845.02
  4. Step 4: Simplify right side
    855.46x = 1,001,788.11
  5. Step 5: Solve for x
    x = 1,001,788.11/855.46
  6. Step 6: Final answer
    x = 1,171.05

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.