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Finding the Fourth Proportional to 1,675.45, 2,509.82 and 798.80

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Solution

The fourth proportional to 1,675.45, 2,509.82 and 798.80 is: 1,196.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.45 : 2,509.82 = 798.80 : x
  2. Step 2: Convert to fraction form
    1,675.45/2,509.82 = 798.80/x
  3. Step 3: Cross multiply
    1,675.45x = 2,509.82 × 798.80
  4. Step 4: Simplify right side
    1,675.45x = 2,004,851.85
  5. Step 5: Solve for x
    x = 2,004,851.85/1,675.45
  6. Step 6: Final answer
    x = 1,196.60

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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.