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Finding the Fourth Proportional to 797.96, 1,197.02 and 278.09

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Solution

The fourth proportional to 797.96, 1,197.02 and 278.09 is: 417.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.96 : 1,197.02 = 278.09 : x
  2. Step 2: Convert to fraction form
    797.96/1,197.02 = 278.09/x
  3. Step 3: Cross multiply
    797.96x = 1,197.02 × 278.09
  4. Step 4: Simplify right side
    797.96x = 332,882.98
  5. Step 5: Solve for x
    x = 332,882.98/797.96
  6. Step 6: Final answer
    x = 417.17

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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.