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Finding the Fourth Proportional to 992.85, 1,367.02 and 843.16

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Solution

The fourth proportional to 992.85, 1,367.02 and 843.16 is: 1,160.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.85 : 1,367.02 = 843.16 : x
  2. Step 2: Convert to fraction form
    992.85/1,367.02 = 843.16/x
  3. Step 3: Cross multiply
    992.85x = 1,367.02 × 843.16
  4. Step 4: Simplify right side
    992.85x = 1,152,616.18
  5. Step 5: Solve for x
    x = 1,152,616.18/992.85
  6. Step 6: Final answer
    x = 1,160.92

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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.