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Finding the Fourth Proportional to 998.03, 1,377.32 and 578.30

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Solution

The fourth proportional to 998.03, 1,377.32 and 578.30 is: 798.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.03 : 1,377.32 = 578.30 : x
  2. Step 2: Convert to fraction form
    998.03/1,377.32 = 578.30/x
  3. Step 3: Cross multiply
    998.03x = 1,377.32 × 578.30
  4. Step 4: Simplify right side
    998.03x = 796,497.63
  5. Step 5: Solve for x
    x = 796,497.63/998.03
  6. Step 6: Final answer
    x = 798.07

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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.