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Finding the Fourth Proportional to 405.97, 606.03 and 388.24

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Solution

The fourth proportional to 405.97, 606.03 and 388.24 is: 579.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.97 : 606.03 = 388.24 : x
  2. Step 2: Convert to fraction form
    405.97/606.03 = 388.24/x
  3. Step 3: Cross multiply
    405.97x = 606.03 × 388.24
  4. Step 4: Simplify right side
    405.97x = 235,285.09
  5. Step 5: Solve for x
    x = 235,285.09/405.97
  6. Step 6: Final answer
    x = 579.56

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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.