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Finding the Fourth Proportional to 2,057, 3,085.50 and 518

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Solution

The fourth proportional to 2,057, 3,085.50 and 518 is: 777

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057 : 3,085.50 = 518 : x
  2. Step 2: Convert to fraction form
    2,057/3,085.50 = 518/x
  3. Step 3: Cross multiply
    2,057x = 3,085.50 × 518
  4. Step 4: Simplify right side
    2,057x = 1,598,289
  5. Step 5: Solve for x
    x = 1,598,289/2,057
  6. Step 6: Final answer
    x = 777

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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.