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Finding the Fourth Proportional to 998.35, 1,374.84 and 811.24

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Solution

The fourth proportional to 998.35, 1,374.84 and 811.24 is: 1,117.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.35 : 1,374.84 = 811.24 : x
  2. Step 2: Convert to fraction form
    998.35/1,374.84 = 811.24/x
  3. Step 3: Cross multiply
    998.35x = 1,374.84 × 811.24
  4. Step 4: Simplify right side
    998.35x = 1,115,321.76
  5. Step 5: Solve for x
    x = 1,115,321.76/998.35
  6. Step 6: Final answer
    x = 1,117.17

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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.