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Finding the Fourth Proportional to 996.96, 1,494.24 and 419.28

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Solution

The fourth proportional to 996.96, 1,494.24 and 419.28 is: 628.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.96 : 1,494.24 = 419.28 : x
  2. Step 2: Convert to fraction form
    996.96/1,494.24 = 419.28/x
  3. Step 3: Cross multiply
    996.96x = 1,494.24 × 419.28
  4. Step 4: Simplify right side
    996.96x = 626,504.95
  5. Step 5: Solve for x
    x = 626,504.95/996.96
  6. Step 6: Final answer
    x = 628.42

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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.