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Finding the Fourth Proportional to 406.62, 606.69 and 397.27

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Solution

The fourth proportional to 406.62, 606.69 and 397.27 is: 592.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.62 : 606.69 = 397.27 : x
  2. Step 2: Convert to fraction form
    406.62/606.69 = 397.27/x
  3. Step 3: Cross multiply
    406.62x = 606.69 × 397.27
  4. Step 4: Simplify right side
    406.62x = 241,020.49
  5. Step 5: Solve for x
    x = 241,020.49/406.62
  6. Step 6: Final answer
    x = 592.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.