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Finding the Fourth Proportional to 795.25, 1,198.29 and 661.30

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Solution

The fourth proportional to 795.25, 1,198.29 and 661.30 is: 996.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.25 : 1,198.29 = 661.30 : x
  2. Step 2: Convert to fraction form
    795.25/1,198.29 = 661.30/x
  3. Step 3: Cross multiply
    795.25x = 1,198.29 × 661.30
  4. Step 4: Simplify right side
    795.25x = 792,428.66
  5. Step 5: Solve for x
    x = 792,428.66/795.25
  6. Step 6: Final answer
    x = 996.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.