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Finding the Fourth Proportional to 998, 1,496.58 and 420.56

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Solution

The fourth proportional to 998, 1,496.58 and 420.56 is: 630.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    998 : 1,496.58 = 420.56 : x
  2. Step 2: Convert to fraction form
    998/1,496.58 = 420.56/x
  3. Step 3: Cross multiply
    998x = 1,496.58 × 420.56
  4. Step 4: Simplify right side
    998x = 629,401.68
  5. Step 5: Solve for x
    x = 629,401.68/998
  6. Step 6: Final answer
    x = 630.66

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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.