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Finding the Fourth Proportional to 711.60, 982.44 and 449.52

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Solution

The fourth proportional to 711.60, 982.44 and 449.52 is: 620.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.60 : 982.44 = 449.52 : x
  2. Step 2: Convert to fraction form
    711.60/982.44 = 449.52/x
  3. Step 3: Cross multiply
    711.60x = 982.44 × 449.52
  4. Step 4: Simplify right side
    711.60x = 441,626.43
  5. Step 5: Solve for x
    x = 441,626.43/711.60
  6. Step 6: Final answer
    x = 620.61

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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.