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Finding the Fourth Proportional to 796.17, 1,193.78 and 327.50

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Solution

The fourth proportional to 796.17, 1,193.78 and 327.50 is: 491.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.17 : 1,193.78 = 327.50 : x
  2. Step 2: Convert to fraction form
    796.17/1,193.78 = 327.50/x
  3. Step 3: Cross multiply
    796.17x = 1,193.78 × 327.50
  4. Step 4: Simplify right side
    796.17x = 390,966.75
  5. Step 5: Solve for x
    x = 390,966.75/796.17
  6. Step 6: Final answer
    x = 491.06

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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.