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Finding the Fourth Proportional to 580.54, 800.99 and 344.49

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Solution

The fourth proportional to 580.54, 800.99 and 344.49 is: 475.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.54 : 800.99 = 344.49 : x
  2. Step 2: Convert to fraction form
    580.54/800.99 = 344.49/x
  3. Step 3: Cross multiply
    580.54x = 800.99 × 344.49
  4. Step 4: Simplify right side
    580.54x = 275,933.05
  5. Step 5: Solve for x
    x = 275,933.05/580.54
  6. Step 6: Final answer
    x = 475.31

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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.