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Finding the Fourth Proportional to 1,733.99, 2,599.50 and 1,184.54

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Solution

The fourth proportional to 1,733.99, 2,599.50 and 1,184.54 is: 1,775.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.99 : 2,599.50 = 1,184.54 : x
  2. Step 2: Convert to fraction form
    1,733.99/2,599.50 = 1,184.54/x
  3. Step 3: Cross multiply
    1,733.99x = 2,599.50 × 1,184.54
  4. Step 4: Simplify right side
    1,733.99x = 3,079,211.73
  5. Step 5: Solve for x
    x = 3,079,211.73/1,733.99
  6. Step 6: Final answer
    x = 1,775.80

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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.