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Finding the Fourth Proportional to 1,272.42, 1,908.42 and 406.50

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Solution

The fourth proportional to 1,272.42, 1,908.42 and 406.50 is: 609.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.42 : 1,908.42 = 406.50 : x
  2. Step 2: Convert to fraction form
    1,272.42/1,908.42 = 406.50/x
  3. Step 3: Cross multiply
    1,272.42x = 1,908.42 × 406.50
  4. Step 4: Simplify right side
    1,272.42x = 775,772.73
  5. Step 5: Solve for x
    x = 775,772.73/1,272.42
  6. Step 6: Final answer
    x = 609.68

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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.