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Finding the Fourth Proportional to 524.09, 722.97 and 327.47

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Solution

The fourth proportional to 524.09, 722.97 and 327.47 is: 451.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.09 : 722.97 = 327.47 : x
  2. Step 2: Convert to fraction form
    524.09/722.97 = 327.47/x
  3. Step 3: Cross multiply
    524.09x = 722.97 × 327.47
  4. Step 4: Simplify right side
    524.09x = 236,750.99
  5. Step 5: Solve for x
    x = 236,750.99/524.09
  6. Step 6: Final answer
    x = 451.74

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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.