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Finding the Fourth Proportional to 998.24, 1,376.34 and 820.58

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Solution

The fourth proportional to 998.24, 1,376.34 and 820.58 is: 1,131.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.24 : 1,376.34 = 820.58 : x
  2. Step 2: Convert to fraction form
    998.24/1,376.34 = 820.58/x
  3. Step 3: Cross multiply
    998.24x = 1,376.34 × 820.58
  4. Step 4: Simplify right side
    998.24x = 1,129,397.08
  5. Step 5: Solve for x
    x = 1,129,397.08/998.24
  6. Step 6: Final answer
    x = 1,131.39

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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.