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Finding the Fourth Proportional to 1,205.99, 1,806.92 and 809.93

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Solution

The fourth proportional to 1,205.99, 1,806.92 and 809.93 is: 1,213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.99 : 1,806.92 = 809.93 : x
  2. Step 2: Convert to fraction form
    1,205.99/1,806.92 = 809.93/x
  3. Step 3: Cross multiply
    1,205.99x = 1,806.92 × 809.93
  4. Step 4: Simplify right side
    1,205.99x = 1,463,478.72
  5. Step 5: Solve for x
    x = 1,463,478.72/1,205.99
  6. Step 6: Final answer
    x = 1,213.51

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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.