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Finding the Fourth Proportional to 435.44, 648.19 and 428.96

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Solution

The fourth proportional to 435.44, 648.19 and 428.96 is: 638.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.44 : 648.19 = 428.96 : x
  2. Step 2: Convert to fraction form
    435.44/648.19 = 428.96/x
  3. Step 3: Cross multiply
    435.44x = 648.19 × 428.96
  4. Step 4: Simplify right side
    435.44x = 278,047.58
  5. Step 5: Solve for x
    x = 278,047.58/435.44
  6. Step 6: Final answer
    x = 638.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.