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Finding the Fourth Proportional to 712.98, 983.88 and 398.22

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Solution

The fourth proportional to 712.98, 983.88 and 398.22 is: 549.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.98 : 983.88 = 398.22 : x
  2. Step 2: Convert to fraction form
    712.98/983.88 = 398.22/x
  3. Step 3: Cross multiply
    712.98x = 983.88 × 398.22
  4. Step 4: Simplify right side
    712.98x = 391,800.69
  5. Step 5: Solve for x
    x = 391,800.69/712.98
  6. Step 6: Final answer
    x = 549.53

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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.