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Finding the Fourth Proportional to 994.73, 1,495.46 and 813.44

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Solution

The fourth proportional to 994.73, 1,495.46 and 813.44 is: 1,222.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.73 : 1,495.46 = 813.44 : x
  2. Step 2: Convert to fraction form
    994.73/1,495.46 = 813.44/x
  3. Step 3: Cross multiply
    994.73x = 1,495.46 × 813.44
  4. Step 4: Simplify right side
    994.73x = 1,216,461.54
  5. Step 5: Solve for x
    x = 1,216,461.54/994.73
  6. Step 6: Final answer
    x = 1,222.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.