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Finding the Fourth Proportional to 998.41, 1,377.12 and 699.12

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Solution

The fourth proportional to 998.41, 1,377.12 and 699.12 is: 964.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.41 : 1,377.12 = 699.12 : x
  2. Step 2: Convert to fraction form
    998.41/1,377.12 = 699.12/x
  3. Step 3: Cross multiply
    998.41x = 1,377.12 × 699.12
  4. Step 4: Simplify right side
    998.41x = 962,772.13
  5. Step 5: Solve for x
    x = 962,772.13/998.41
  6. Step 6: Final answer
    x = 964.31

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1.5x scale

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.