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Finding the Fourth Proportional to 796.98, 1,194.72 and 553.20

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Solution

The fourth proportional to 796.98, 1,194.72 and 553.20 is: 829.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.98 : 1,194.72 = 553.20 : x
  2. Step 2: Convert to fraction form
    796.98/1,194.72 = 553.20/x
  3. Step 3: Cross multiply
    796.98x = 1,194.72 × 553.20
  4. Step 4: Simplify right side
    796.98x = 660,919.10
  5. Step 5: Solve for x
    x = 660,919.10/796.98
  6. Step 6: Final answer
    x = 829.28

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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.