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Finding the Fourth Proportional to 791.55, 1,181.19 and 695.55

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Solution

The fourth proportional to 791.55, 1,181.19 and 695.55 is: 1,037.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.55 : 1,181.19 = 695.55 : x
  2. Step 2: Convert to fraction form
    791.55/1,181.19 = 695.55/x
  3. Step 3: Cross multiply
    791.55x = 1,181.19 × 695.55
  4. Step 4: Simplify right side
    791.55x = 821,576.70
  5. Step 5: Solve for x
    x = 821,576.70/791.55
  6. Step 6: Final answer
    x = 1,037.93

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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.