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Finding the Fourth Proportional to 1,081.63, 1,622.60 and 432.31

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Solution

The fourth proportional to 1,081.63, 1,622.60 and 432.31 is: 648.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.63 : 1,622.60 = 432.31 : x
  2. Step 2: Convert to fraction form
    1,081.63/1,622.60 = 432.31/x
  3. Step 3: Cross multiply
    1,081.63x = 1,622.60 × 432.31
  4. Step 4: Simplify right side
    1,081.63x = 701,466.21
  5. Step 5: Solve for x
    x = 701,466.21/1,081.63
  6. Step 6: Final answer
    x = 648.53

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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.