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Finding the Fourth Proportional to 409.25, 568.55 and 405.42

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Solution

The fourth proportional to 409.25, 568.55 and 405.42 is: 563.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.25 : 568.55 = 405.42 : x
  2. Step 2: Convert to fraction form
    409.25/568.55 = 405.42/x
  3. Step 3: Cross multiply
    409.25x = 568.55 × 405.42
  4. Step 4: Simplify right side
    409.25x = 230,499.51
  5. Step 5: Solve for x
    x = 230,499.51/409.25
  6. Step 6: Final answer
    x = 563.23

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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.