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Finding the Fourth Proportional to 406.36, 562.99 and 397.72

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Solution

The fourth proportional to 406.36, 562.99 and 397.72 is: 551.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.36 : 562.99 = 397.72 : x
  2. Step 2: Convert to fraction form
    406.36/562.99 = 397.72/x
  3. Step 3: Cross multiply
    406.36x = 562.99 × 397.72
  4. Step 4: Simplify right side
    406.36x = 223,912.38
  5. Step 5: Solve for x
    x = 223,912.38/406.36
  6. Step 6: Final answer
    x = 551.02

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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.