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Finding the Fourth Proportional to 409.38, 567.94 and 394.34

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Solution

The fourth proportional to 409.38, 567.94 and 394.34 is: 547.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.38 : 567.94 = 394.34 : x
  2. Step 2: Convert to fraction form
    409.38/567.94 = 394.34/x
  3. Step 3: Cross multiply
    409.38x = 567.94 × 394.34
  4. Step 4: Simplify right side
    409.38x = 223,962.06
  5. Step 5: Solve for x
    x = 223,962.06/409.38
  6. Step 6: Final answer
    x = 547.08

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.