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Finding the Fourth Proportional to 2,192.45, 3,289.20 and 653.45

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Solution

The fourth proportional to 2,192.45, 3,289.20 and 653.45 is: 980.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.45 : 3,289.20 = 653.45 : x
  2. Step 2: Convert to fraction form
    2,192.45/3,289.20 = 653.45/x
  3. Step 3: Cross multiply
    2,192.45x = 3,289.20 × 653.45
  4. Step 4: Simplify right side
    2,192.45x = 2,149,311.29
  5. Step 5: Solve for x
    x = 2,149,311.29/2,192.45
  6. Step 6: Final answer
    x = 980.33

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1.5x scale

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.