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Finding the Fourth Proportional to 564.38, 846.43 and 382.90

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Solution

The fourth proportional to 564.38, 846.43 and 382.90 is: 574.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.38 : 846.43 = 382.90 : x
  2. Step 2: Convert to fraction form
    564.38/846.43 = 382.90/x
  3. Step 3: Cross multiply
    564.38x = 846.43 × 382.90
  4. Step 4: Simplify right side
    564.38x = 324,098.05
  5. Step 5: Solve for x
    x = 324,098.05/564.38
  6. Step 6: Final answer
    x = 574.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.