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Finding the Fourth Proportional to 859.35, 1,289.37 and 512.85

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Solution

The fourth proportional to 859.35, 1,289.37 and 512.85 is: 769.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.35 : 1,289.37 = 512.85 : x
  2. Step 2: Convert to fraction form
    859.35/1,289.37 = 512.85/x
  3. Step 3: Cross multiply
    859.35x = 1,289.37 × 512.85
  4. Step 4: Simplify right side
    859.35x = 661,250.84
  5. Step 5: Solve for x
    x = 661,250.84/859.35
  6. Step 6: Final answer
    x = 769.48

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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.