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Finding the Fourth Proportional to 579.94, 800.43 and 343.80

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Solution

The fourth proportional to 579.94, 800.43 and 343.80 is: 474.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.94 : 800.43 = 343.80 : x
  2. Step 2: Convert to fraction form
    579.94/800.43 = 343.80/x
  3. Step 3: Cross multiply
    579.94x = 800.43 × 343.80
  4. Step 4: Simplify right side
    579.94x = 275,187.83
  5. Step 5: Solve for x
    x = 275,187.83/579.94
  6. Step 6: Final answer
    x = 474.51

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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.