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Finding the Fourth Proportional to 671.13, 998.19 and 663.84

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Solution

The fourth proportional to 671.13, 998.19 and 663.84 is: 987.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.13 : 998.19 = 663.84 : x
  2. Step 2: Convert to fraction form
    671.13/998.19 = 663.84/x
  3. Step 3: Cross multiply
    671.13x = 998.19 × 663.84
  4. Step 4: Simplify right side
    671.13x = 662,635.13
  5. Step 5: Solve for x
    x = 662,635.13/671.13
  6. Step 6: Final answer
    x = 987.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.