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Finding the Fourth Proportional to 1,995.58, 2,992.92 and 762.55

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Solution

The fourth proportional to 1,995.58, 2,992.92 and 762.55 is: 1,143.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.58 : 2,992.92 = 762.55 : x
  2. Step 2: Convert to fraction form
    1,995.58/2,992.92 = 762.55/x
  3. Step 3: Cross multiply
    1,995.58x = 2,992.92 × 762.55
  4. Step 4: Simplify right side
    1,995.58x = 2,282,251.15
  5. Step 5: Solve for x
    x = 2,282,251.15/1,995.58
  6. Step 6: Final answer
    x = 1,143.65

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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.