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Finding the Fourth Proportional to 883.73, 1,219.68 and 854.95

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Solution

The fourth proportional to 883.73, 1,219.68 and 854.95 is: 1,179.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.73 : 1,219.68 = 854.95 : x
  2. Step 2: Convert to fraction form
    883.73/1,219.68 = 854.95/x
  3. Step 3: Cross multiply
    883.73x = 1,219.68 × 854.95
  4. Step 4: Simplify right side
    883.73x = 1,042,762.37
  5. Step 5: Solve for x
    x = 1,042,762.37/883.73
  6. Step 6: Final answer
    x = 1,179.96

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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.