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Finding the Fourth Proportional to 524.50, 789.81 and 388.51

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Solution

The fourth proportional to 524.50, 789.81 and 388.51 is: 585.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.50 : 789.81 = 388.51 : x
  2. Step 2: Convert to fraction form
    524.50/789.81 = 388.51/x
  3. Step 3: Cross multiply
    524.50x = 789.81 × 388.51
  4. Step 4: Simplify right side
    524.50x = 306,847.14
  5. Step 5: Solve for x
    x = 306,847.14/524.50
  6. Step 6: Final answer
    x = 585.03

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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.