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Finding the Fourth Proportional to 996.49, 1,494.74 and 419.77

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Solution

The fourth proportional to 996.49, 1,494.74 and 419.77 is: 629.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.49 : 1,494.74 = 419.77 : x
  2. Step 2: Convert to fraction form
    996.49/1,494.74 = 419.77/x
  3. Step 3: Cross multiply
    996.49x = 1,494.74 × 419.77
  4. Step 4: Simplify right side
    996.49x = 627,447.01
  5. Step 5: Solve for x
    x = 627,447.01/996.49
  6. Step 6: Final answer
    x = 629.66

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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.