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Finding the Fourth Proportional to 572.73, 789.92 and 415.39

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Solution

The fourth proportional to 572.73, 789.92 and 415.39 is: 572.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.73 : 789.92 = 415.39 : x
  2. Step 2: Convert to fraction form
    572.73/789.92 = 415.39/x
  3. Step 3: Cross multiply
    572.73x = 789.92 × 415.39
  4. Step 4: Simplify right side
    572.73x = 328,124.87
  5. Step 5: Solve for x
    x = 328,124.87/572.73
  6. Step 6: Final answer
    x = 572.91

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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.