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Finding the Fourth Proportional to 512.50, 766.41 and 382.59

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Solution

The fourth proportional to 512.50, 766.41 and 382.59 is: 572.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.50 : 766.41 = 382.59 : x
  2. Step 2: Convert to fraction form
    512.50/766.41 = 382.59/x
  3. Step 3: Cross multiply
    512.50x = 766.41 × 382.59
  4. Step 4: Simplify right side
    512.50x = 293,220.80
  5. Step 5: Solve for x
    x = 293,220.80/512.50
  6. Step 6: Final answer
    x = 572.14

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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.