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Finding the Fourth Proportional to 1,900.42, 2,850.76 and 513.77

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Solution

The fourth proportional to 1,900.42, 2,850.76 and 513.77 is: 770.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.42 : 2,850.76 = 513.77 : x
  2. Step 2: Convert to fraction form
    1,900.42/2,850.76 = 513.77/x
  3. Step 3: Cross multiply
    1,900.42x = 2,850.76 × 513.77
  4. Step 4: Simplify right side
    1,900.42x = 1,464,634.97
  5. Step 5: Solve for x
    x = 1,464,634.97/1,900.42
  6. Step 6: Final answer
    x = 770.69

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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.