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Finding the Fourth Proportional to 406.89, 606.42 and 400.41

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Solution

The fourth proportional to 406.89, 606.42 and 400.41 is: 596.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.89 : 606.42 = 400.41 : x
  2. Step 2: Convert to fraction form
    406.89/606.42 = 400.41/x
  3. Step 3: Cross multiply
    406.89x = 606.42 × 400.41
  4. Step 4: Simplify right side
    406.89x = 242,816.63
  5. Step 5: Solve for x
    x = 242,816.63/406.89
  6. Step 6: Final answer
    x = 596.76

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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.