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Finding the Fourth Proportional to 799.31, 1,100.46 and 622.05

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Solution

The fourth proportional to 799.31, 1,100.46 and 622.05 is: 856.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.31 : 1,100.46 = 622.05 : x
  2. Step 2: Convert to fraction form
    799.31/1,100.46 = 622.05/x
  3. Step 3: Cross multiply
    799.31x = 1,100.46 × 622.05
  4. Step 4: Simplify right side
    799.31x = 684,541.14
  5. Step 5: Solve for x
    x = 684,541.14/799.31
  6. Step 6: Final answer
    x = 856.42

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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.