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Finding the Fourth Proportional to 712.88, 983.84 and 398.19

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Solution

The fourth proportional to 712.88, 983.84 and 398.19 is: 549.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.88 : 983.84 = 398.19 : x
  2. Step 2: Convert to fraction form
    712.88/983.84 = 398.19/x
  3. Step 3: Cross multiply
    712.88x = 983.84 × 398.19
  4. Step 4: Simplify right side
    712.88x = 391,755.25
  5. Step 5: Solve for x
    x = 391,755.25/712.88
  6. Step 6: Final answer
    x = 549.54

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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.