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Finding the Fourth Proportional to 2,163.87, 3,245.45 and 603.98

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Solution

The fourth proportional to 2,163.87, 3,245.45 and 603.98 is: 905.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.87 : 3,245.45 = 603.98 : x
  2. Step 2: Convert to fraction form
    2,163.87/3,245.45 = 603.98/x
  3. Step 3: Cross multiply
    2,163.87x = 3,245.45 × 603.98
  4. Step 4: Simplify right side
    2,163.87x = 1,960,186.89
  5. Step 5: Solve for x
    x = 1,960,186.89/2,163.87
  6. Step 6: Final answer
    x = 905.87

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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.