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Finding the Fourth Proportional to 1,615.52, 2,422.92 and 641.36

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Solution

The fourth proportional to 1,615.52, 2,422.92 and 641.36 is: 961.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.52 : 2,422.92 = 641.36 : x
  2. Step 2: Convert to fraction form
    1,615.52/2,422.92 = 641.36/x
  3. Step 3: Cross multiply
    1,615.52x = 2,422.92 × 641.36
  4. Step 4: Simplify right side
    1,615.52x = 1,553,963.97
  5. Step 5: Solve for x
    x = 1,553,963.97/1,615.52
  6. Step 6: Final answer
    x = 961.90

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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.