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Finding the Fourth Proportional to 1,487.39, 2,231.41 and 447.31

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Solution

The fourth proportional to 1,487.39, 2,231.41 and 447.31 is: 671.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.39 : 2,231.41 = 447.31 : x
  2. Step 2: Convert to fraction form
    1,487.39/2,231.41 = 447.31/x
  3. Step 3: Cross multiply
    1,487.39x = 2,231.41 × 447.31
  4. Step 4: Simplify right side
    1,487.39x = 998,118.61
  5. Step 5: Solve for x
    x = 998,118.61/1,487.39
  6. Step 6: Final answer
    x = 671.05

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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.