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Finding the Fourth Proportional to 567.38, 850.12 and 259.46

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Solution

The fourth proportional to 567.38, 850.12 and 259.46 is: 388.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.38 : 850.12 = 259.46 : x
  2. Step 2: Convert to fraction form
    567.38/850.12 = 259.46/x
  3. Step 3: Cross multiply
    567.38x = 850.12 × 259.46
  4. Step 4: Simplify right side
    567.38x = 220,567.24
  5. Step 5: Solve for x
    x = 220,567.24/567.38
  6. Step 6: Final answer
    x = 388.75

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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.