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Finding the Fourth Proportional to 798.00, 1,196.97 and 408.16

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Solution

The fourth proportional to 798.00, 1,196.97 and 408.16 is: 612.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.00 : 1,196.97 = 408.16 : x
  2. Step 2: Convert to fraction form
    798.00/1,196.97 = 408.16/x
  3. Step 3: Cross multiply
    798.00x = 1,196.97 × 408.16
  4. Step 4: Simplify right side
    798.00x = 488,555.28
  5. Step 5: Solve for x
    x = 488,555.28/798.00
  6. Step 6: Final answer
    x = 612.23

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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.