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Finding the Fourth Proportional to 998.82, 1,498.22 and 382.34

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Solution

The fourth proportional to 998.82, 1,498.22 and 382.34 is: 573.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.82 : 1,498.22 = 382.34 : x
  2. Step 2: Convert to fraction form
    998.82/1,498.22 = 382.34/x
  3. Step 3: Cross multiply
    998.82x = 1,498.22 × 382.34
  4. Step 4: Simplify right side
    998.82x = 572,829.43
  5. Step 5: Solve for x
    x = 572,829.43/998.82
  6. Step 6: Final answer
    x = 573.51

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.