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Finding the Fourth Proportional to 993.44, 1,369.44 and 836

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Solution

The fourth proportional to 993.44, 1,369.44 and 836 is: 1,152.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.44 : 1,369.44 = 836 : x
  2. Step 2: Convert to fraction form
    993.44/1,369.44 = 836/x
  3. Step 3: Cross multiply
    993.44x = 1,369.44 × 836
  4. Step 4: Simplify right side
    993.44x = 1,144,851.84
  5. Step 5: Solve for x
    x = 1,144,851.84/993.44
  6. Step 6: Final answer
    x = 1,152.41

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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.