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Finding the Fourth Proportional to 1,493.43, 2,240.75 and 671.14

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Solution

The fourth proportional to 1,493.43, 2,240.75 and 671.14 is: 1,006.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.43 : 2,240.75 = 671.14 : x
  2. Step 2: Convert to fraction form
    1,493.43/2,240.75 = 671.14/x
  3. Step 3: Cross multiply
    1,493.43x = 2,240.75 × 671.14
  4. Step 4: Simplify right side
    1,493.43x = 1,503,856.96
  5. Step 5: Solve for x
    x = 1,503,856.96/1,493.43
  6. Step 6: Final answer
    x = 1,006.98

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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.