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Finding the Fourth Proportional to 572.25, 789.75 and 339.42

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Solution

The fourth proportional to 572.25, 789.75 and 339.42 is: 468.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.25 : 789.75 = 339.42 : x
  2. Step 2: Convert to fraction form
    572.25/789.75 = 339.42/x
  3. Step 3: Cross multiply
    572.25x = 789.75 × 339.42
  4. Step 4: Simplify right side
    572.25x = 268,056.95
  5. Step 5: Solve for x
    x = 268,056.95/572.25
  6. Step 6: Final answer
    x = 468.43

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