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Finding the Fourth Proportional to 791.65, 1,186.45 and 584.57

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Solution

The fourth proportional to 791.65, 1,186.45 and 584.57 is: 876.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.65 : 1,186.45 = 584.57 : x
  2. Step 2: Convert to fraction form
    791.65/1,186.45 = 584.57/x
  3. Step 3: Cross multiply
    791.65x = 1,186.45 × 584.57
  4. Step 4: Simplify right side
    791.65x = 693,557.91
  5. Step 5: Solve for x
    x = 693,557.91/791.65
  6. Step 6: Final answer
    x = 876.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.