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Finding the Fourth Proportional to 409.76, 569.48 and 405.44

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Solution

The fourth proportional to 409.76, 569.48 and 405.44 is: 563.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.76 : 569.48 = 405.44 : x
  2. Step 2: Convert to fraction form
    409.76/569.48 = 405.44/x
  3. Step 3: Cross multiply
    409.76x = 569.48 × 405.44
  4. Step 4: Simplify right side
    409.76x = 230,889.97
  5. Step 5: Solve for x
    x = 230,889.97/409.76
  6. Step 6: Final answer
    x = 563.48

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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.