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Finding the Fourth Proportional to 1,322.05, 1,981.01 and 499.88

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Solution

The fourth proportional to 1,322.05, 1,981.01 and 499.88 is: 749.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.05 : 1,981.01 = 499.88 : x
  2. Step 2: Convert to fraction form
    1,322.05/1,981.01 = 499.88/x
  3. Step 3: Cross multiply
    1,322.05x = 1,981.01 × 499.88
  4. Step 4: Simplify right side
    1,322.05x = 990,257.37
  5. Step 5: Solve for x
    x = 990,257.37/1,322.05
  6. Step 6: Final answer
    x = 749.03

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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.