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Finding the Fourth Proportional to 899.12, 1,234.14 and 798.64

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Solution

The fourth proportional to 899.12, 1,234.14 and 798.64 is: 1,096.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.12 : 1,234.14 = 798.64 : x
  2. Step 2: Convert to fraction form
    899.12/1,234.14 = 798.64/x
  3. Step 3: Cross multiply
    899.12x = 1,234.14 × 798.64
  4. Step 4: Simplify right side
    899.12x = 985,633.57
  5. Step 5: Solve for x
    x = 985,633.57/899.12
  6. Step 6: Final answer
    x = 1,096.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.