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Finding the Fourth Proportional to 572.85, 789.38 and 415.21

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Solution

The fourth proportional to 572.85, 789.38 and 415.21 is: 572.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.85 : 789.38 = 415.21 : x
  2. Step 2: Convert to fraction form
    572.85/789.38 = 415.21/x
  3. Step 3: Cross multiply
    572.85x = 789.38 × 415.21
  4. Step 4: Simplify right side
    572.85x = 327,758.47
  5. Step 5: Solve for x
    x = 327,758.47/572.85
  6. Step 6: Final answer
    x = 572.15

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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.