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Finding the Fourth Proportional to 2,057.02, 3,085.55 and 518.02

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Solution

The fourth proportional to 2,057.02, 3,085.55 and 518.02 is: 777.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.02 : 3,085.55 = 518.02 : x
  2. Step 2: Convert to fraction form
    2,057.02/3,085.55 = 518.02/x
  3. Step 3: Cross multiply
    2,057.02x = 3,085.55 × 518.02
  4. Step 4: Simplify right side
    2,057.02x = 1,598,376.61
  5. Step 5: Solve for x
    x = 1,598,376.61/2,057.02
  6. Step 6: Final answer
    x = 777.04

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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.