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Finding the Fourth Proportional to 1,615.21, 2,422.80 and 445.22

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Solution

The fourth proportional to 1,615.21, 2,422.80 and 445.22 is: 667.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.21 : 2,422.80 = 445.22 : x
  2. Step 2: Convert to fraction form
    1,615.21/2,422.80 = 445.22/x
  3. Step 3: Cross multiply
    1,615.21x = 2,422.80 × 445.22
  4. Step 4: Simplify right side
    1,615.21x = 1,078,679.02
  5. Step 5: Solve for x
    x = 1,078,679.02/1,615.21
  6. Step 6: Final answer
    x = 667.83

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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.