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Finding the Fourth Proportional to 998.37, 1,497.44 and 382.06

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Solution

The fourth proportional to 998.37, 1,497.44 and 382.06 is: 573.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.37 : 1,497.44 = 382.06 : x
  2. Step 2: Convert to fraction form
    998.37/1,497.44 = 382.06/x
  3. Step 3: Cross multiply
    998.37x = 1,497.44 × 382.06
  4. Step 4: Simplify right side
    998.37x = 572,111.93
  5. Step 5: Solve for x
    x = 572,111.93/998.37
  6. Step 6: Final answer
    x = 573.05

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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.