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Finding the Fourth Proportional to 406.33, 604.97 and 401.47

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Solution

The fourth proportional to 406.33, 604.97 and 401.47 is: 597.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.33 : 604.97 = 401.47 : x
  2. Step 2: Convert to fraction form
    406.33/604.97 = 401.47/x
  3. Step 3: Cross multiply
    406.33x = 604.97 × 401.47
  4. Step 4: Simplify right side
    406.33x = 242,877.31
  5. Step 5: Solve for x
    x = 242,877.31/406.33
  6. Step 6: Final answer
    x = 597.73

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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.