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Finding the Fourth Proportional to 730.92, 1,093.91 and 422.31

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Solution

The fourth proportional to 730.92, 1,093.91 and 422.31 is: 632.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.92 : 1,093.91 = 422.31 : x
  2. Step 2: Convert to fraction form
    730.92/1,093.91 = 422.31/x
  3. Step 3: Cross multiply
    730.92x = 1,093.91 × 422.31
  4. Step 4: Simplify right side
    730.92x = 461,971.12
  5. Step 5: Solve for x
    x = 461,971.12/730.92
  6. Step 6: Final answer
    x = 632.04

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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.