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Finding the Fourth Proportional to 992.26, 1,370.10 and 796.65

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Solution

The fourth proportional to 992.26, 1,370.10 and 796.65 is: 1,100.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.26 : 1,370.10 = 796.65 : x
  2. Step 2: Convert to fraction form
    992.26/1,370.10 = 796.65/x
  3. Step 3: Cross multiply
    992.26x = 1,370.10 × 796.65
  4. Step 4: Simplify right side
    992.26x = 1,091,488.01
  5. Step 5: Solve for x
    x = 1,091,488.01/992.26
  6. Step 6: Final answer
    x = 1,100.00

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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.