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Finding the Fourth Proportional to 482.73, 724.77 and 299.58

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Solution

The fourth proportional to 482.73, 724.77 and 299.58 is: 449.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.73 : 724.77 = 299.58 : x
  2. Step 2: Convert to fraction form
    482.73/724.77 = 299.58/x
  3. Step 3: Cross multiply
    482.73x = 724.77 × 299.58
  4. Step 4: Simplify right side
    482.73x = 217,126.60
  5. Step 5: Solve for x
    x = 217,126.60/482.73
  6. Step 6: Final answer
    x = 449.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.