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Finding the Fourth Proportional to 394.45, 595.24 and 382.91

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Solution

The fourth proportional to 394.45, 595.24 and 382.91 is: 577.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.45 : 595.24 = 382.91 : x
  2. Step 2: Convert to fraction form
    394.45/595.24 = 382.91/x
  3. Step 3: Cross multiply
    394.45x = 595.24 × 382.91
  4. Step 4: Simplify right side
    394.45x = 227,919.41
  5. Step 5: Solve for x
    x = 227,919.41/394.45
  6. Step 6: Final answer
    x = 577.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.