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Finding the Fourth Proportional to 608.21, 839.46 and 442.56

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Solution

The fourth proportional to 608.21, 839.46 and 442.56 is: 610.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.21 : 839.46 = 442.56 : x
  2. Step 2: Convert to fraction form
    608.21/839.46 = 442.56/x
  3. Step 3: Cross multiply
    608.21x = 839.46 × 442.56
  4. Step 4: Simplify right side
    608.21x = 371,516.23
  5. Step 5: Solve for x
    x = 371,516.23/608.21
  6. Step 6: Final answer
    x = 610.84

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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.