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Finding the Fourth Proportional to 2,303.20, 3,453.76 and 659.37

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Solution

The fourth proportional to 2,303.20, 3,453.76 and 659.37 is: 988.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.20 : 3,453.76 = 659.37 : x
  2. Step 2: Convert to fraction form
    2,303.20/3,453.76 = 659.37/x
  3. Step 3: Cross multiply
    2,303.20x = 3,453.76 × 659.37
  4. Step 4: Simplify right side
    2,303.20x = 2,277,305.73
  5. Step 5: Solve for x
    x = 2,277,305.73/2,303.20
  6. Step 6: Final answer
    x = 988.76

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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.