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Finding the Fourth Proportional to 793.16, 1,187.26 and 676.52

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Solution

The fourth proportional to 793.16, 1,187.26 and 676.52 is: 1,012.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.16 : 1,187.26 = 676.52 : x
  2. Step 2: Convert to fraction form
    793.16/1,187.26 = 676.52/x
  3. Step 3: Cross multiply
    793.16x = 1,187.26 × 676.52
  4. Step 4: Simplify right side
    793.16x = 803,205.14
  5. Step 5: Solve for x
    x = 803,205.14/793.16
  6. Step 6: Final answer
    x = 1,012.66

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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.