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Finding the Fourth Proportional to 609.89, 841.56 and 344.30

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Solution

The fourth proportional to 609.89, 841.56 and 344.30 is: 475.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.89 : 841.56 = 344.30 : x
  2. Step 2: Convert to fraction form
    609.89/841.56 = 344.30/x
  3. Step 3: Cross multiply
    609.89x = 841.56 × 344.30
  4. Step 4: Simplify right side
    609.89x = 289,751.21
  5. Step 5: Solve for x
    x = 289,751.21/609.89
  6. Step 6: Final answer
    x = 475.09

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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.