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Finding the Fourth Proportional to 608.44, 838.44 and 433.48

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Solution

The fourth proportional to 608.44, 838.44 and 433.48 is: 597.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.44 : 838.44 = 433.48 : x
  2. Step 2: Convert to fraction form
    608.44/838.44 = 433.48/x
  3. Step 3: Cross multiply
    608.44x = 838.44 × 433.48
  4. Step 4: Simplify right side
    608.44x = 363,446.97
  5. Step 5: Solve for x
    x = 363,446.97/608.44
  6. Step 6: Final answer
    x = 597.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.