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Finding the Fourth Proportional to 1,599.27, 2,399.82 and 674.76

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Solution

The fourth proportional to 1,599.27, 2,399.82 and 674.76 is: 1,012.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.27 : 2,399.82 = 674.76 : x
  2. Step 2: Convert to fraction form
    1,599.27/2,399.82 = 674.76/x
  3. Step 3: Cross multiply
    1,599.27x = 2,399.82 × 674.76
  4. Step 4: Simplify right side
    1,599.27x = 1,619,302.54
  5. Step 5: Solve for x
    x = 1,619,302.54/1,599.27
  6. Step 6: Final answer
    x = 1,012.53

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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.