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Finding the Fourth Proportional to 997.42, 1,495.76 and 419.98

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Solution

The fourth proportional to 997.42, 1,495.76 and 419.98 is: 629.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.42 : 1,495.76 = 419.98 : x
  2. Step 2: Convert to fraction form
    997.42/1,495.76 = 419.98/x
  3. Step 3: Cross multiply
    997.42x = 1,495.76 × 419.98
  4. Step 4: Simplify right side
    997.42x = 628,189.28
  5. Step 5: Solve for x
    x = 628,189.28/997.42
  6. Step 6: Final answer
    x = 629.81

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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.