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Finding the Fourth Proportional to 423.68, 636.48 and 406.88

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Solution

The fourth proportional to 423.68, 636.48 and 406.88 is: 611.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.68 : 636.48 = 406.88 : x
  2. Step 2: Convert to fraction form
    423.68/636.48 = 406.88/x
  3. Step 3: Cross multiply
    423.68x = 636.48 × 406.88
  4. Step 4: Simplify right side
    423.68x = 258,970.98
  5. Step 5: Solve for x
    x = 258,970.98/423.68
  6. Step 6: Final answer
    x = 611.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.