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Finding the Fourth Proportional to 409.46, 564.81 and 382.12

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Solution

The fourth proportional to 409.46, 564.81 and 382.12 is: 527.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.46 : 564.81 = 382.12 : x
  2. Step 2: Convert to fraction form
    409.46/564.81 = 382.12/x
  3. Step 3: Cross multiply
    409.46x = 564.81 × 382.12
  4. Step 4: Simplify right side
    409.46x = 215,825.20
  5. Step 5: Solve for x
    x = 215,825.20/409.46
  6. Step 6: Final answer
    x = 527.10

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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.