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Finding the Fourth Proportional to 524.97, 724.50 and 338.49

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Solution

The fourth proportional to 524.97, 724.50 and 338.49 is: 467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.97 : 724.50 = 338.49 : x
  2. Step 2: Convert to fraction form
    524.97/724.50 = 338.49/x
  3. Step 3: Cross multiply
    524.97x = 724.50 × 338.49
  4. Step 4: Simplify right side
    524.97x = 245,236.01
  5. Step 5: Solve for x
    x = 245,236.01/524.97
  6. Step 6: Final answer
    x = 467.14

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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.