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Finding the Fourth Proportional to 712.29, 982.08 and 449.85

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Solution

The fourth proportional to 712.29, 982.08 and 449.85 is: 620.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.29 : 982.08 = 449.85 : x
  2. Step 2: Convert to fraction form
    712.29/982.08 = 449.85/x
  3. Step 3: Cross multiply
    712.29x = 982.08 × 449.85
  4. Step 4: Simplify right side
    712.29x = 441,788.69
  5. Step 5: Solve for x
    x = 441,788.69/712.29
  6. Step 6: Final answer
    x = 620.24

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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.