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Finding the Fourth Proportional to 579.35, 799.49 and 313.78

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Solution

The fourth proportional to 579.35, 799.49 and 313.78 is: 433.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.35 : 799.49 = 313.78 : x
  2. Step 2: Convert to fraction form
    579.35/799.49 = 313.78/x
  3. Step 3: Cross multiply
    579.35x = 799.49 × 313.78
  4. Step 4: Simplify right side
    579.35x = 250,867.73
  5. Step 5: Solve for x
    x = 250,867.73/579.35
  6. Step 6: Final answer
    x = 433.01

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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.