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Finding the Fourth Proportional to 791.20, 1,181.86 and 586.17

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Solution

The fourth proportional to 791.20, 1,181.86 and 586.17 is: 875.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.20 : 1,181.86 = 586.17 : x
  2. Step 2: Convert to fraction form
    791.20/1,181.86 = 586.17/x
  3. Step 3: Cross multiply
    791.20x = 1,181.86 × 586.17
  4. Step 4: Simplify right side
    791.20x = 692,766.62
  5. Step 5: Solve for x
    x = 692,766.62/791.20
  6. Step 6: Final answer
    x = 875.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.