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Finding the Fourth Proportional to 409.39, 568.84 and 405.11

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Solution

The fourth proportional to 409.39, 568.84 and 405.11 is: 562.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.39 : 568.84 = 405.11 : x
  2. Step 2: Convert to fraction form
    409.39/568.84 = 405.11/x
  3. Step 3: Cross multiply
    409.39x = 568.84 × 405.11
  4. Step 4: Simplify right side
    409.39x = 230,440.75
  5. Step 5: Solve for x
    x = 230,440.75/409.39
  6. Step 6: Final answer
    x = 562.89

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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.