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Finding the Fourth Proportional to 998.11, 1,376.76 and 802.09

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Solution

The fourth proportional to 998.11, 1,376.76 and 802.09 is: 1,106.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.11 : 1,376.76 = 802.09 : x
  2. Step 2: Convert to fraction form
    998.11/1,376.76 = 802.09/x
  3. Step 3: Cross multiply
    998.11x = 1,376.76 × 802.09
  4. Step 4: Simplify right side
    998.11x = 1,104,285.43
  5. Step 5: Solve for x
    x = 1,104,285.43/998.11
  6. Step 6: Final answer
    x = 1,106.38

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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.