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Finding the Fourth Proportional to 1,775.45, 2,661.46 and 995.83

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Solution

The fourth proportional to 1,775.45, 2,661.46 and 995.83 is: 1,492.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.45 : 2,661.46 = 995.83 : x
  2. Step 2: Convert to fraction form
    1,775.45/2,661.46 = 995.83/x
  3. Step 3: Cross multiply
    1,775.45x = 2,661.46 × 995.83
  4. Step 4: Simplify right side
    1,775.45x = 2,650,352.57
  5. Step 5: Solve for x
    x = 2,650,352.57/1,775.45
  6. Step 6: Final answer
    x = 1,492.78

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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.