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Finding the Fourth Proportional to 1,993.50, 2,990.16 and 512.73

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Solution

The fourth proportional to 1,993.50, 2,990.16 and 512.73 is: 769.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.50 : 2,990.16 = 512.73 : x
  2. Step 2: Convert to fraction form
    1,993.50/2,990.16 = 512.73/x
  3. Step 3: Cross multiply
    1,993.50x = 2,990.16 × 512.73
  4. Step 4: Simplify right side
    1,993.50x = 1,533,144.74
  5. Step 5: Solve for x
    x = 1,533,144.74/1,993.50
  6. Step 6: Final answer
    x = 769.07

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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.