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Finding the Fourth Proportional to 1,205.99, 1,809.89 and 882.19

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Solution

The fourth proportional to 1,205.99, 1,809.89 and 882.19 is: 1,323.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.99 : 1,809.89 = 882.19 : x
  2. Step 2: Convert to fraction form
    1,205.99/1,809.89 = 882.19/x
  3. Step 3: Cross multiply
    1,205.99x = 1,809.89 × 882.19
  4. Step 4: Simplify right side
    1,205.99x = 1,596,672.98
  5. Step 5: Solve for x
    x = 1,596,672.98/1,205.99
  6. Step 6: Final answer
    x = 1,323.95

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1.5x scale

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.