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Finding the Fourth Proportional to 855.18, 1,178.64 and 812.70

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Solution

The fourth proportional to 855.18, 1,178.64 and 812.70 is: 1,120.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.18 : 1,178.64 = 812.70 : x
  2. Step 2: Convert to fraction form
    855.18/1,178.64 = 812.70/x
  3. Step 3: Cross multiply
    855.18x = 1,178.64 × 812.70
  4. Step 4: Simplify right side
    855.18x = 957,880.73
  5. Step 5: Solve for x
    x = 957,880.73/855.18
  6. Step 6: Final answer
    x = 1,120.09

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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.