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Finding the Fourth Proportional to 998.43, 1,377.86 and 578.81

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Solution

The fourth proportional to 998.43, 1,377.86 and 578.81 is: 798.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.43 : 1,377.86 = 578.81 : x
  2. Step 2: Convert to fraction form
    998.43/1,377.86 = 578.81/x
  3. Step 3: Cross multiply
    998.43x = 1,377.86 × 578.81
  4. Step 4: Simplify right side
    998.43x = 797,509.36
  5. Step 5: Solve for x
    x = 797,509.36/998.43
  6. Step 6: Final answer
    x = 798.76

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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.