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Finding the Fourth Proportional to 998.23, 1,377.57 and 556.15

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Solution

The fourth proportional to 998.23, 1,377.57 and 556.15 is: 767.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.23 : 1,377.57 = 556.15 : x
  2. Step 2: Convert to fraction form
    998.23/1,377.57 = 556.15/x
  3. Step 3: Cross multiply
    998.23x = 1,377.57 × 556.15
  4. Step 4: Simplify right side
    998.23x = 766,135.56
  5. Step 5: Solve for x
    x = 766,135.56/998.23
  6. Step 6: Final answer
    x = 767.49

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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.