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Finding the Fourth Proportional to 608.80, 839.87 and 422.73

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Solution

The fourth proportional to 608.80, 839.87 and 422.73 is: 583.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.80 : 839.87 = 422.73 : x
  2. Step 2: Convert to fraction form
    608.80/839.87 = 422.73/x
  3. Step 3: Cross multiply
    608.80x = 839.87 × 422.73
  4. Step 4: Simplify right side
    608.80x = 355,038.25
  5. Step 5: Solve for x
    x = 355,038.25/608.80
  6. Step 6: Final answer
    x = 583.18

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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.