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Finding the Fourth Proportional to 996.73, 1,495.08 and 419.20

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Solution

The fourth proportional to 996.73, 1,495.08 and 419.20 is: 628.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.73 : 1,495.08 = 419.20 : x
  2. Step 2: Convert to fraction form
    996.73/1,495.08 = 419.20/x
  3. Step 3: Cross multiply
    996.73x = 1,495.08 × 419.20
  4. Step 4: Simplify right side
    996.73x = 626,737.54
  5. Step 5: Solve for x
    x = 626,737.54/996.73
  6. Step 6: Final answer
    x = 628.79

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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.