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Finding the Fourth Proportional to 524.38, 789.20 and 395.05

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Solution

The fourth proportional to 524.38, 789.20 and 395.05 is: 594.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.38 : 789.20 = 395.05 : x
  2. Step 2: Convert to fraction form
    524.38/789.20 = 395.05/x
  3. Step 3: Cross multiply
    524.38x = 789.20 × 395.05
  4. Step 4: Simplify right side
    524.38x = 311,773.46
  5. Step 5: Solve for x
    x = 311,773.46/524.38
  6. Step 6: Final answer
    x = 594.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.