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Finding the Fourth Proportional to 996.02, 1,494.16 and 418.76

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Solution

The fourth proportional to 996.02, 1,494.16 and 418.76 is: 628.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.02 : 1,494.16 = 418.76 : x
  2. Step 2: Convert to fraction form
    996.02/1,494.16 = 418.76/x
  3. Step 3: Cross multiply
    996.02x = 1,494.16 × 418.76
  4. Step 4: Simplify right side
    996.02x = 625,694.44
  5. Step 5: Solve for x
    x = 625,694.44/996.02
  6. Step 6: Final answer
    x = 628.19

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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.