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Finding the Fourth Proportional to 994.05, 1,491.14 and 263.60

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Solution

The fourth proportional to 994.05, 1,491.14 and 263.60 is: 395.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.05 : 1,491.14 = 263.60 : x
  2. Step 2: Convert to fraction form
    994.05/1,491.14 = 263.60/x
  3. Step 3: Cross multiply
    994.05x = 1,491.14 × 263.60
  4. Step 4: Simplify right side
    994.05x = 393,063.30
  5. Step 5: Solve for x
    x = 393,063.30/994.05
  6. Step 6: Final answer
    x = 395.42

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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.