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Finding the Fourth Proportional to 2,303.03, 3,453.54 and 659.21

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Solution

The fourth proportional to 2,303.03, 3,453.54 and 659.21 is: 988.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.03 : 3,453.54 = 659.21 : x
  2. Step 2: Convert to fraction form
    2,303.03/3,453.54 = 659.21/x
  3. Step 3: Cross multiply
    2,303.03x = 3,453.54 × 659.21
  4. Step 4: Simplify right side
    2,303.03x = 2,276,608.10
  5. Step 5: Solve for x
    x = 2,276,608.10/2,303.03
  6. Step 6: Final answer
    x = 988.53

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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.