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Finding the Fourth Proportional to 608.07, 838.79 and 411.63

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Solution

The fourth proportional to 608.07, 838.79 and 411.63 is: 567.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.07 : 838.79 = 411.63 : x
  2. Step 2: Convert to fraction form
    608.07/838.79 = 411.63/x
  3. Step 3: Cross multiply
    608.07x = 838.79 × 411.63
  4. Step 4: Simplify right side
    608.07x = 345,269.07
  5. Step 5: Solve for x
    x = 345,269.07/608.07
  6. Step 6: Final answer
    x = 567.81

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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.