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Finding the Fourth Proportional to 385, 574.61 and 380.86

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Solution

The fourth proportional to 385, 574.61 and 380.86 is: 568.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    385 : 574.61 = 380.86 : x
  2. Step 2: Convert to fraction form
    385/574.61 = 380.86/x
  3. Step 3: Cross multiply
    385x = 574.61 × 380.86
  4. Step 4: Simplify right side
    385x = 218,845.96
  5. Step 5: Solve for x
    x = 218,845.96/385
  6. Step 6: Final answer
    x = 568.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.