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Finding the Fourth Proportional to 998.29, 1,377.64 and 556.18

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Solution

The fourth proportional to 998.29, 1,377.64 and 556.18 is: 767.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.29 : 1,377.64 = 556.18 : x
  2. Step 2: Convert to fraction form
    998.29/1,377.64 = 556.18/x
  3. Step 3: Cross multiply
    998.29x = 1,377.64 × 556.18
  4. Step 4: Simplify right side
    998.29x = 766,215.82
  5. Step 5: Solve for x
    x = 766,215.82/998.29
  6. Step 6: Final answer
    x = 767.53

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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.