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Finding the Fourth Proportional to 655.39, 983.59 and 449.95

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Solution

The fourth proportional to 655.39, 983.59 and 449.95 is: 675.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.39 : 983.59 = 449.95 : x
  2. Step 2: Convert to fraction form
    655.39/983.59 = 449.95/x
  3. Step 3: Cross multiply
    655.39x = 983.59 × 449.95
  4. Step 4: Simplify right side
    655.39x = 442,566.43
  5. Step 5: Solve for x
    x = 442,566.43/655.39
  6. Step 6: Final answer
    x = 675.27

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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.