Home / 1,322.21-1,982.67-499.95

Finding the Fourth Proportional to 1,322.21, 1,982.67 and 499.95

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Solution

The fourth proportional to 1,322.21, 1,982.67 and 499.95 is: 749.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.21 : 1,982.67 = 499.95 : x
  2. Step 2: Convert to fraction form
    1,322.21/1,982.67 = 499.95/x
  3. Step 3: Cross multiply
    1,322.21x = 1,982.67 × 499.95
  4. Step 4: Simplify right side
    1,322.21x = 991,235.87
  5. Step 5: Solve for x
    x = 991,235.87/1,322.21
  6. Step 6: Final answer
    x = 749.68

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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.