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Finding the Fourth Proportional to 524.09, 724.21 and 399.56

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Solution

The fourth proportional to 524.09, 724.21 and 399.56 is: 552.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.09 : 724.21 = 399.56 : x
  2. Step 2: Convert to fraction form
    524.09/724.21 = 399.56/x
  3. Step 3: Cross multiply
    524.09x = 724.21 × 399.56
  4. Step 4: Simplify right side
    524.09x = 289,360.73
  5. Step 5: Solve for x
    x = 289,360.73/524.09
  6. Step 6: Final answer
    x = 552.12

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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.