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Finding the Fourth Proportional to 572.09, 789.35 and 385.92

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Solution

The fourth proportional to 572.09, 789.35 and 385.92 is: 532.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.09 : 789.35 = 385.92 : x
  2. Step 2: Convert to fraction form
    572.09/789.35 = 385.92/x
  3. Step 3: Cross multiply
    572.09x = 789.35 × 385.92
  4. Step 4: Simplify right side
    572.09x = 304,624.02
  5. Step 5: Solve for x
    x = 304,624.02/572.09
  6. Step 6: Final answer
    x = 532.48

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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.