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Finding the Fourth Proportional to 608.14, 838.98 and 441.98

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Solution

The fourth proportional to 608.14, 838.98 and 441.98 is: 609.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.14 : 838.98 = 441.98 : x
  2. Step 2: Convert to fraction form
    608.14/838.98 = 441.98/x
  3. Step 3: Cross multiply
    608.14x = 838.98 × 441.98
  4. Step 4: Simplify right side
    608.14x = 370,812.38
  5. Step 5: Solve for x
    x = 370,812.38/608.14
  6. Step 6: Final answer
    x = 609.75

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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.