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Finding the Fourth Proportional to 996.21, 1,373.40 and 839.48

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Solution

The fourth proportional to 996.21, 1,373.40 and 839.48 is: 1,157.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.21 : 1,373.40 = 839.48 : x
  2. Step 2: Convert to fraction form
    996.21/1,373.40 = 839.48/x
  3. Step 3: Cross multiply
    996.21x = 1,373.40 × 839.48
  4. Step 4: Simplify right side
    996.21x = 1,152,934.97
  5. Step 5: Solve for x
    x = 1,152,934.97/996.21
  6. Step 6: Final answer
    x = 1,157.32

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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.