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Finding the Fourth Proportional to 797.20, 1,197.24 and 538

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Solution

The fourth proportional to 797.20, 1,197.24 and 538 is: 807.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.20 : 1,197.24 = 538 : x
  2. Step 2: Convert to fraction form
    797.20/1,197.24 = 538/x
  3. Step 3: Cross multiply
    797.20x = 1,197.24 × 538
  4. Step 4: Simplify right side
    797.20x = 644,115.12
  5. Step 5: Solve for x
    x = 644,115.12/797.20
  6. Step 6: Final answer
    x = 807.97

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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.