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Finding the Fourth Proportional to 572.12, 789.62 and 339.40

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Solution

The fourth proportional to 572.12, 789.62 and 339.40 is: 468.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.12 : 789.62 = 339.40 : x
  2. Step 2: Convert to fraction form
    572.12/789.62 = 339.40/x
  3. Step 3: Cross multiply
    572.12x = 789.62 × 339.40
  4. Step 4: Simplify right side
    572.12x = 267,997.03
  5. Step 5: Solve for x
    x = 267,997.03/572.12
  6. Step 6: Final answer
    x = 468.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.