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Finding the Fourth Proportional to 524.42, 721.94 and 393.20

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Solution

The fourth proportional to 524.42, 721.94 and 393.20 is: 541.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.42 : 721.94 = 393.20 : x
  2. Step 2: Convert to fraction form
    524.42/721.94 = 393.20/x
  3. Step 3: Cross multiply
    524.42x = 721.94 × 393.20
  4. Step 4: Simplify right side
    524.42x = 283,861.23
  5. Step 5: Solve for x
    x = 283,861.23/524.42
  6. Step 6: Final answer
    x = 541.29

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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.