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Finding the Fourth Proportional to 998.13, 1,377.36 and 578.45

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Solution

The fourth proportional to 998.13, 1,377.36 and 578.45 is: 798.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.13 : 1,377.36 = 578.45 : x
  2. Step 2: Convert to fraction form
    998.13/1,377.36 = 578.45/x
  3. Step 3: Cross multiply
    998.13x = 1,377.36 × 578.45
  4. Step 4: Simplify right side
    998.13x = 796,737.34
  5. Step 5: Solve for x
    x = 796,737.34/998.13
  6. Step 6: Final answer
    x = 798.23

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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.