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Finding the Fourth Proportional to 797.88, 1,195.74 and 451.38

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Solution

The fourth proportional to 797.88, 1,195.74 and 451.38 is: 676.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.88 : 1,195.74 = 451.38 : x
  2. Step 2: Convert to fraction form
    797.88/1,195.74 = 451.38/x
  3. Step 3: Cross multiply
    797.88x = 1,195.74 × 451.38
  4. Step 4: Simplify right side
    797.88x = 539,733.12
  5. Step 5: Solve for x
    x = 539,733.12/797.88
  6. Step 6: Final answer
    x = 676.46

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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.