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Finding the Fourth Proportional to 712.82, 983.73 and 398.09

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Solution

The fourth proportional to 712.82, 983.73 and 398.09 is: 549.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.82 : 983.73 = 398.09 : x
  2. Step 2: Convert to fraction form
    712.82/983.73 = 398.09/x
  3. Step 3: Cross multiply
    712.82x = 983.73 × 398.09
  4. Step 4: Simplify right side
    712.82x = 391,617.03
  5. Step 5: Solve for x
    x = 391,617.03/712.82
  6. Step 6: Final answer
    x = 549.39

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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.