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Finding the Fourth Proportional to 1,659.80, 2,302.94 and 1,645.67

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Solution

The fourth proportional to 1,659.80, 2,302.94 and 1,645.67 is: 2,283.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.80 : 2,302.94 = 1,645.67 : x
  2. Step 2: Convert to fraction form
    1,659.80/2,302.94 = 1,645.67/x
  3. Step 3: Cross multiply
    1,659.80x = 2,302.94 × 1,645.67
  4. Step 4: Simplify right side
    1,659.80x = 3,789,879.27
  5. Step 5: Solve for x
    x = 3,789,879.27/1,659.80
  6. Step 6: Final answer
    x = 2,283.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.