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Finding the Fourth Proportional to 2,163.56, 3,244.70 and 603.20

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Solution

The fourth proportional to 2,163.56, 3,244.70 and 603.20 is: 904.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.56 : 3,244.70 = 603.20 : x
  2. Step 2: Convert to fraction form
    2,163.56/3,244.70 = 603.20/x
  3. Step 3: Cross multiply
    2,163.56x = 3,244.70 × 603.20
  4. Step 4: Simplify right side
    2,163.56x = 1,957,203.04
  5. Step 5: Solve for x
    x = 1,957,203.04/2,163.56
  6. Step 6: Final answer
    x = 904.62

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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.