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Finding the Fourth Proportional to 524.13, 789.24 and 388.14

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Solution

The fourth proportional to 524.13, 789.24 and 388.14 is: 584.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.13 : 789.24 = 388.14 : x
  2. Step 2: Convert to fraction form
    524.13/789.24 = 388.14/x
  3. Step 3: Cross multiply
    524.13x = 789.24 × 388.14
  4. Step 4: Simplify right side
    524.13x = 306,337.07
  5. Step 5: Solve for x
    x = 306,337.07/524.13
  6. Step 6: Final answer
    x = 584.47

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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.