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Finding the Fourth Proportional to 412.42, 572.05 and 397.64

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Solution

The fourth proportional to 412.42, 572.05 and 397.64 is: 551.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.42 : 572.05 = 397.64 : x
  2. Step 2: Convert to fraction form
    412.42/572.05 = 397.64/x
  3. Step 3: Cross multiply
    412.42x = 572.05 × 397.64
  4. Step 4: Simplify right side
    412.42x = 227,469.96
  5. Step 5: Solve for x
    x = 227,469.96/412.42
  6. Step 6: Final answer
    x = 551.56

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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.