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Finding the Fourth Proportional to 655.54, 983.92 and 449.60

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Solution

The fourth proportional to 655.54, 983.92 and 449.60 is: 674.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.54 : 983.92 = 449.60 : x
  2. Step 2: Convert to fraction form
    655.54/983.92 = 449.60/x
  3. Step 3: Cross multiply
    655.54x = 983.92 × 449.60
  4. Step 4: Simplify right side
    655.54x = 442,370.43
  5. Step 5: Solve for x
    x = 442,370.43/655.54
  6. Step 6: Final answer
    x = 674.82

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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.