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Finding the Fourth Proportional to 785.47, 1,083.98 and 449.43

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Solution

The fourth proportional to 785.47, 1,083.98 and 449.43 is: 620.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.47 : 1,083.98 = 449.43 : x
  2. Step 2: Convert to fraction form
    785.47/1,083.98 = 449.43/x
  3. Step 3: Cross multiply
    785.47x = 1,083.98 × 449.43
  4. Step 4: Simplify right side
    785.47x = 487,167.66
  5. Step 5: Solve for x
    x = 487,167.66/785.47
  6. Step 6: Final answer
    x = 620.22

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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.