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Finding the Fourth Proportional to 948, 1,414.56 and 851.04

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Solution

The fourth proportional to 948, 1,414.56 and 851.04 is: 1,269.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    948 : 1,414.56 = 851.04 : x
  2. Step 2: Convert to fraction form
    948/1,414.56 = 851.04/x
  3. Step 3: Cross multiply
    948x = 1,414.56 × 851.04
  4. Step 4: Simplify right side
    948x = 1,203,847.14
  5. Step 5: Solve for x
    x = 1,203,847.14/948
  6. Step 6: Final answer
    x = 1,269.88

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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.