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Finding the Fourth Proportional to 992.08, 1,367.93 and 804.99

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Solution

The fourth proportional to 992.08, 1,367.93 and 804.99 is: 1,109.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.08 : 1,367.93 = 804.99 : x
  2. Step 2: Convert to fraction form
    992.08/1,367.93 = 804.99/x
  3. Step 3: Cross multiply
    992.08x = 1,367.93 × 804.99
  4. Step 4: Simplify right side
    992.08x = 1,101,169.97
  5. Step 5: Solve for x
    x = 1,101,169.97/992.08
  6. Step 6: Final answer
    x = 1,109.96

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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.