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Finding the Fourth Proportional to 482.13, 724.56 and 449.34

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Solution

The fourth proportional to 482.13, 724.56 and 449.34 is: 675.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.13 : 724.56 = 449.34 : x
  2. Step 2: Convert to fraction form
    482.13/724.56 = 449.34/x
  3. Step 3: Cross multiply
    482.13x = 724.56 × 449.34
  4. Step 4: Simplify right side
    482.13x = 325,573.79
  5. Step 5: Solve for x
    x = 325,573.79/482.13
  6. Step 6: Final answer
    x = 675.28

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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.