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Finding the Fourth Proportional to 946.38, 1,302.84 and 798.96

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Solution

The fourth proportional to 946.38, 1,302.84 and 798.96 is: 1,099.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.38 : 1,302.84 = 798.96 : x
  2. Step 2: Convert to fraction form
    946.38/1,302.84 = 798.96/x
  3. Step 3: Cross multiply
    946.38x = 1,302.84 × 798.96
  4. Step 4: Simplify right side
    946.38x = 1,040,917.05
  5. Step 5: Solve for x
    x = 1,040,917.05/946.38
  6. Step 6: Final answer
    x = 1,099.89

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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.