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Finding the Fourth Proportional to 2,350.22, 3,525.48 and 706.62

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Solution

The fourth proportional to 2,350.22, 3,525.48 and 706.62 is: 1,059.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.22 : 3,525.48 = 706.62 : x
  2. Step 2: Convert to fraction form
    2,350.22/3,525.48 = 706.62/x
  3. Step 3: Cross multiply
    2,350.22x = 3,525.48 × 706.62
  4. Step 4: Simplify right side
    2,350.22x = 2,491,174.68
  5. Step 5: Solve for x
    x = 2,491,174.68/2,350.22
  6. Step 6: Final answer
    x = 1,059.98

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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.