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Finding the Fourth Proportional to 608.22, 839.42 and 421.61

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Solution

The fourth proportional to 608.22, 839.42 and 421.61 is: 581.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.22 : 839.42 = 421.61 : x
  2. Step 2: Convert to fraction form
    608.22/839.42 = 421.61/x
  3. Step 3: Cross multiply
    608.22x = 839.42 × 421.61
  4. Step 4: Simplify right side
    608.22x = 353,911.02
  5. Step 5: Solve for x
    x = 353,911.02/608.22
  6. Step 6: Final answer
    x = 581.88

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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.