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Finding the Fourth Proportional to 773.44, 1,157.40 and 671.92

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Solution

The fourth proportional to 773.44, 1,157.40 and 671.92 is: 1,005.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.44 : 1,157.40 = 671.92 : x
  2. Step 2: Convert to fraction form
    773.44/1,157.40 = 671.92/x
  3. Step 3: Cross multiply
    773.44x = 1,157.40 × 671.92
  4. Step 4: Simplify right side
    773.44x = 777,680.21
  5. Step 5: Solve for x
    x = 777,680.21/773.44
  6. Step 6: Final answer
    x = 1,005.48

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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.