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Finding the Fourth Proportional to 608.03, 838.42 and 411.20

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Solution

The fourth proportional to 608.03, 838.42 and 411.20 is: 567.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.03 : 838.42 = 411.20 : x
  2. Step 2: Convert to fraction form
    608.03/838.42 = 411.20/x
  3. Step 3: Cross multiply
    608.03x = 838.42 × 411.20
  4. Step 4: Simplify right side
    608.03x = 344,759.37
  5. Step 5: Solve for x
    x = 344,759.37/608.03
  6. Step 6: Final answer
    x = 567.01

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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.