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Finding the Fourth Proportional to 567.38, 850.50 and 323.40

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Solution

The fourth proportional to 567.38, 850.50 and 323.40 is: 484.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.38 : 850.50 = 323.40 : x
  2. Step 2: Convert to fraction form
    567.38/850.50 = 323.40/x
  3. Step 3: Cross multiply
    567.38x = 850.50 × 323.40
  4. Step 4: Simplify right side
    567.38x = 275,051.70
  5. Step 5: Solve for x
    x = 275,051.70/567.38
  6. Step 6: Final answer
    x = 484.78

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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.