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Finding the Fourth Proportional to 998.41, 1,493.96 and 587.74

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Solution

The fourth proportional to 998.41, 1,493.96 and 587.74 is: 879.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.41 : 1,493.96 = 587.74 : x
  2. Step 2: Convert to fraction form
    998.41/1,493.96 = 587.74/x
  3. Step 3: Cross multiply
    998.41x = 1,493.96 × 587.74
  4. Step 4: Simplify right side
    998.41x = 878,060.05
  5. Step 5: Solve for x
    x = 878,060.05/998.41
  6. Step 6: Final answer
    x = 879.46

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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.