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Finding the Fourth Proportional to 994.88, 1,372.14 and 828.83

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Solution

The fourth proportional to 994.88, 1,372.14 and 828.83 is: 1,143.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.88 : 1,372.14 = 828.83 : x
  2. Step 2: Convert to fraction form
    994.88/1,372.14 = 828.83/x
  3. Step 3: Cross multiply
    994.88x = 1,372.14 × 828.83
  4. Step 4: Simplify right side
    994.88x = 1,137,274.23
  5. Step 5: Solve for x
    x = 1,137,274.23/994.88
  6. Step 6: Final answer
    x = 1,143.12

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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.