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Finding the Fourth Proportional to 578.94, 799.05 and 342.80

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Solution

The fourth proportional to 578.94, 799.05 and 342.80 is: 473.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.94 : 799.05 = 342.80 : x
  2. Step 2: Convert to fraction form
    578.94/799.05 = 342.80/x
  3. Step 3: Cross multiply
    578.94x = 799.05 × 342.80
  4. Step 4: Simplify right side
    578.94x = 273,910.34
  5. Step 5: Solve for x
    x = 273,910.34/578.94
  6. Step 6: Final answer
    x = 473.12

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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.