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Finding the Fourth Proportional to 998.01, 1,377.90 and 698.72

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Solution

The fourth proportional to 998.01, 1,377.90 and 698.72 is: 964.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.01 : 1,377.90 = 698.72 : x
  2. Step 2: Convert to fraction form
    998.01/1,377.90 = 698.72/x
  3. Step 3: Cross multiply
    998.01x = 1,377.90 × 698.72
  4. Step 4: Simplify right side
    998.01x = 962,759.40
  5. Step 5: Solve for x
    x = 962,759.40/998.01
  6. Step 6: Final answer
    x = 964.68

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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.