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Finding the Fourth Proportional to 816.26, 1,222.56 and 382.50

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Solution

The fourth proportional to 816.26, 1,222.56 and 382.50 is: 572.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.26 : 1,222.56 = 382.50 : x
  2. Step 2: Convert to fraction form
    816.26/1,222.56 = 382.50/x
  3. Step 3: Cross multiply
    816.26x = 1,222.56 × 382.50
  4. Step 4: Simplify right side
    816.26x = 467,629.20
  5. Step 5: Solve for x
    x = 467,629.20/816.26
  6. Step 6: Final answer
    x = 572.90

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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.