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Finding the Fourth Proportional to 435.19, 655.39 and 396.31

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Solution

The fourth proportional to 435.19, 655.39 and 396.31 is: 596.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.19 : 655.39 = 396.31 : x
  2. Step 2: Convert to fraction form
    435.19/655.39 = 396.31/x
  3. Step 3: Cross multiply
    435.19x = 655.39 × 396.31
  4. Step 4: Simplify right side
    435.19x = 259,734.98
  5. Step 5: Solve for x
    x = 259,734.98/435.19
  6. Step 6: Final answer
    x = 596.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.