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Finding the Fourth Proportional to 797.92, 1,197.24 and 365.20

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Solution

The fourth proportional to 797.92, 1,197.24 and 365.20 is: 547.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.92 : 1,197.24 = 365.20 : x
  2. Step 2: Convert to fraction form
    797.92/1,197.24 = 365.20/x
  3. Step 3: Cross multiply
    797.92x = 1,197.24 × 365.20
  4. Step 4: Simplify right side
    797.92x = 437,232.05
  5. Step 5: Solve for x
    x = 437,232.05/797.92
  6. Step 6: Final answer
    x = 547.96

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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.