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Finding the Fourth Proportional to 1,382.76, 2,074.44 and 517.07

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Solution

The fourth proportional to 1,382.76, 2,074.44 and 517.07 is: 775.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.76 : 2,074.44 = 517.07 : x
  2. Step 2: Convert to fraction form
    1,382.76/2,074.44 = 517.07/x
  3. Step 3: Cross multiply
    1,382.76x = 2,074.44 × 517.07
  4. Step 4: Simplify right side
    1,382.76x = 1,072,620.32
  5. Step 5: Solve for x
    x = 1,072,620.32/1,382.76
  6. Step 6: Final answer
    x = 775.71

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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.