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Finding the Fourth Proportional to 1,049.40, 1,447.14 and 676.32

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Solution

The fourth proportional to 1,049.40, 1,447.14 and 676.32 is: 932.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.40 : 1,447.14 = 676.32 : x
  2. Step 2: Convert to fraction form
    1,049.40/1,447.14 = 676.32/x
  3. Step 3: Cross multiply
    1,049.40x = 1,447.14 × 676.32
  4. Step 4: Simplify right side
    1,049.40x = 978,729.72
  5. Step 5: Solve for x
    x = 978,729.72/1,049.40
  6. Step 6: Final answer
    x = 932.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.