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Finding the Fourth Proportional to 791.94, 1,188.45 and 359.40

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Solution

The fourth proportional to 791.94, 1,188.45 and 359.40 is: 539.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.94 : 1,188.45 = 359.40 : x
  2. Step 2: Convert to fraction form
    791.94/1,188.45 = 359.40/x
  3. Step 3: Cross multiply
    791.94x = 1,188.45 × 359.40
  4. Step 4: Simplify right side
    791.94x = 427,128.93
  5. Step 5: Solve for x
    x = 427,128.93/791.94
  6. Step 6: Final answer
    x = 539.35

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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.