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Finding the Fourth Proportional to 406.62, 563.52 and 399.33

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Solution

The fourth proportional to 406.62, 563.52 and 399.33 is: 553.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.62 : 563.52 = 399.33 : x
  2. Step 2: Convert to fraction form
    406.62/563.52 = 399.33/x
  3. Step 3: Cross multiply
    406.62x = 563.52 × 399.33
  4. Step 4: Simplify right side
    406.62x = 225,031.94
  5. Step 5: Solve for x
    x = 225,031.94/406.62
  6. Step 6: Final answer
    x = 553.42

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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.