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Finding the Fourth Proportional to 791.10, 1,185.98 and 328.59

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Solution

The fourth proportional to 791.10, 1,185.98 and 328.59 is: 492.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.10 : 1,185.98 = 328.59 : x
  2. Step 2: Convert to fraction form
    791.10/1,185.98 = 328.59/x
  3. Step 3: Cross multiply
    791.10x = 1,185.98 × 328.59
  4. Step 4: Simplify right side
    791.10x = 389,701.17
  5. Step 5: Solve for x
    x = 389,701.17/791.10
  6. Step 6: Final answer
    x = 492.61

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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.