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Finding the Fourth Proportional to 793.14, 1,188.68 and 330.40

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Solution

The fourth proportional to 793.14, 1,188.68 and 330.40 is: 495.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.14 : 1,188.68 = 330.40 : x
  2. Step 2: Convert to fraction form
    793.14/1,188.68 = 330.40/x
  3. Step 3: Cross multiply
    793.14x = 1,188.68 × 330.40
  4. Step 4: Simplify right side
    793.14x = 392,739.87
  5. Step 5: Solve for x
    x = 392,739.87/793.14
  6. Step 6: Final answer
    x = 495.17

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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.