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Finding the Fourth Proportional to 426.12, 639.09 and 289.23

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Solution

The fourth proportional to 426.12, 639.09 and 289.23 is: 433.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.12 : 639.09 = 289.23 : x
  2. Step 2: Convert to fraction form
    426.12/639.09 = 289.23/x
  3. Step 3: Cross multiply
    426.12x = 639.09 × 289.23
  4. Step 4: Simplify right side
    426.12x = 184,844.00
  5. Step 5: Solve for x
    x = 184,844.00/426.12
  6. Step 6: Final answer
    x = 433.78

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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.