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Finding the Fourth Proportional to 998.39, 1,497.83 and 382.11

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Solution

The fourth proportional to 998.39, 1,497.83 and 382.11 is: 573.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.39 : 1,497.83 = 382.11 : x
  2. Step 2: Convert to fraction form
    998.39/1,497.83 = 382.11/x
  3. Step 3: Cross multiply
    998.39x = 1,497.83 × 382.11
  4. Step 4: Simplify right side
    998.39x = 572,333.91
  5. Step 5: Solve for x
    x = 572,333.91/998.39
  6. Step 6: Final answer
    x = 573.26

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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.