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Finding the Fourth Proportional to 567.50, 850.44 and 323.70

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Solution

The fourth proportional to 567.50, 850.44 and 323.70 is: 485.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.50 : 850.44 = 323.70 : x
  2. Step 2: Convert to fraction form
    567.50/850.44 = 323.70/x
  3. Step 3: Cross multiply
    567.50x = 850.44 × 323.70
  4. Step 4: Simplify right side
    567.50x = 275,287.43
  5. Step 5: Solve for x
    x = 275,287.43/567.50
  6. Step 6: Final answer
    x = 485.09

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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.