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Finding the Fourth Proportional to 572.17, 789.55 and 339.25

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Solution

The fourth proportional to 572.17, 789.55 and 339.25 is: 468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.17 : 789.55 = 339.25 : x
  2. Step 2: Convert to fraction form
    572.17/789.55 = 339.25/x
  3. Step 3: Cross multiply
    572.17x = 789.55 × 339.25
  4. Step 4: Simplify right side
    572.17x = 267,854.84
  5. Step 5: Solve for x
    x = 267,854.84/572.17
  6. Step 6: Final answer
    x = 468.14

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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.