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Finding the Fourth Proportional to 2,302.30, 3,453.57 and 659.09

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Solution

The fourth proportional to 2,302.30, 3,453.57 and 659.09 is: 988.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.30 : 3,453.57 = 659.09 : x
  2. Step 2: Convert to fraction form
    2,302.30/3,453.57 = 659.09/x
  3. Step 3: Cross multiply
    2,302.30x = 3,453.57 × 659.09
  4. Step 4: Simplify right side
    2,302.30x = 2,276,213.45
  5. Step 5: Solve for x
    x = 2,276,213.45/2,302.30
  6. Step 6: Final answer
    x = 988.67

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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.