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Finding the Fourth Proportional to 859.34, 1,289.05 and 243.09

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Solution

The fourth proportional to 859.34, 1,289.05 and 243.09 is: 364.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.34 : 1,289.05 = 243.09 : x
  2. Step 2: Convert to fraction form
    859.34/1,289.05 = 243.09/x
  3. Step 3: Cross multiply
    859.34x = 1,289.05 × 243.09
  4. Step 4: Simplify right side
    859.34x = 313,348.72
  5. Step 5: Solve for x
    x = 313,348.72/859.34
  6. Step 6: Final answer
    x = 364.64

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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.