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Finding the Fourth Proportional to 579.30, 799.47 and 380.25

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Solution

The fourth proportional to 579.30, 799.47 and 380.25 is: 524.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.30 : 799.47 = 380.25 : x
  2. Step 2: Convert to fraction form
    579.30/799.47 = 380.25/x
  3. Step 3: Cross multiply
    579.30x = 799.47 × 380.25
  4. Step 4: Simplify right side
    579.30x = 303,998.47
  5. Step 5: Solve for x
    x = 303,998.47/579.30
  6. Step 6: Final answer
    x = 524.77

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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.