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Finding the Fourth Proportional to 994.68, 1,491.92 and 264.33

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Solution

The fourth proportional to 994.68, 1,491.92 and 264.33 is: 396.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.68 : 1,491.92 = 264.33 : x
  2. Step 2: Convert to fraction form
    994.68/1,491.92 = 264.33/x
  3. Step 3: Cross multiply
    994.68x = 1,491.92 × 264.33
  4. Step 4: Simplify right side
    994.68x = 394,358.88
  5. Step 5: Solve for x
    x = 394,358.88/994.68
  6. Step 6: Final answer
    x = 396.47

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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.