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Finding the Fourth Proportional to 579.82, 800.22 and 331.19

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Solution

The fourth proportional to 579.82, 800.22 and 331.19 is: 457.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.82 : 800.22 = 331.19 : x
  2. Step 2: Convert to fraction form
    579.82/800.22 = 331.19/x
  3. Step 3: Cross multiply
    579.82x = 800.22 × 331.19
  4. Step 4: Simplify right side
    579.82x = 265,024.86
  5. Step 5: Solve for x
    x = 265,024.86/579.82
  6. Step 6: Final answer
    x = 457.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.