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Finding the Fourth Proportional to 998.25, 1,377.69 and 556.23

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Solution

The fourth proportional to 998.25, 1,377.69 and 556.23 is: 767.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.25 : 1,377.69 = 556.23 : x
  2. Step 2: Convert to fraction form
    998.25/1,377.69 = 556.23/x
  3. Step 3: Cross multiply
    998.25x = 1,377.69 × 556.23
  4. Step 4: Simplify right side
    998.25x = 766,312.51
  5. Step 5: Solve for x
    x = 766,312.51/998.25
  6. Step 6: Final answer
    x = 767.66

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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.