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Finding the Fourth Proportional to 998.87, 1,499.38 and 422.15

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Solution

The fourth proportional to 998.87, 1,499.38 and 422.15 is: 633.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.87 : 1,499.38 = 422.15 : x
  2. Step 2: Convert to fraction form
    998.87/1,499.38 = 422.15/x
  3. Step 3: Cross multiply
    998.87x = 1,499.38 × 422.15
  4. Step 4: Simplify right side
    998.87x = 632,954.71
  5. Step 5: Solve for x
    x = 632,954.71/998.87
  6. Step 6: Final answer
    x = 633.67

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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.