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Finding the Fourth Proportional to 998.21, 1,377.57 and 578.55

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Solution

The fourth proportional to 998.21, 1,377.57 and 578.55 is: 798.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.21 : 1,377.57 = 578.55 : x
  2. Step 2: Convert to fraction form
    998.21/1,377.57 = 578.55/x
  3. Step 3: Cross multiply
    998.21x = 1,377.57 × 578.55
  4. Step 4: Simplify right side
    998.21x = 796,993.12
  5. Step 5: Solve for x
    x = 796,993.12/998.21
  6. Step 6: Final answer
    x = 798.42

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Double scale
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1.5x scale

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.