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Finding the Fourth Proportional to 1,382.99, 2,074.56 and 899.11

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Solution

The fourth proportional to 1,382.99, 2,074.56 and 899.11 is: 1,348.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.99 : 2,074.56 = 899.11 : x
  2. Step 2: Convert to fraction form
    1,382.99/2,074.56 = 899.11/x
  3. Step 3: Cross multiply
    1,382.99x = 2,074.56 × 899.11
  4. Step 4: Simplify right side
    1,382.99x = 1,865,257.64
  5. Step 5: Solve for x
    x = 1,865,257.64/1,382.99
  6. Step 6: Final answer
    x = 1,348.71

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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.