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Finding the Fourth Proportional to 798, 1,198.08 and 683.16

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Solution

The fourth proportional to 798, 1,198.08 and 683.16 is: 1,025.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    798 : 1,198.08 = 683.16 : x
  2. Step 2: Convert to fraction form
    798/1,198.08 = 683.16/x
  3. Step 3: Cross multiply
    798x = 1,198.08 × 683.16
  4. Step 4: Simplify right side
    798x = 818,480.33
  5. Step 5: Solve for x
    x = 818,480.33/798
  6. Step 6: Final answer
    x = 1,025.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.