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Finding the Fourth Proportional to 791.00, 1,186.52 and 328.65

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Solution

The fourth proportional to 791.00, 1,186.52 and 328.65 is: 492.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.00 : 1,186.52 = 328.65 : x
  2. Step 2: Convert to fraction form
    791.00/1,186.52 = 328.65/x
  3. Step 3: Cross multiply
    791.00x = 1,186.52 × 328.65
  4. Step 4: Simplify right side
    791.00x = 389,943.71
  5. Step 5: Solve for x
    x = 389,943.71/791.00
  6. Step 6: Final answer
    x = 492.98

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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.