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Finding the Fourth Proportional to 1,076.11, 1,613.37 and 345.27

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Solution

The fourth proportional to 1,076.11, 1,613.37 and 345.27 is: 517.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.11 : 1,613.37 = 345.27 : x
  2. Step 2: Convert to fraction form
    1,076.11/1,613.37 = 345.27/x
  3. Step 3: Cross multiply
    1,076.11x = 1,613.37 × 345.27
  4. Step 4: Simplify right side
    1,076.11x = 557,048.26
  5. Step 5: Solve for x
    x = 557,048.26/1,076.11
  6. Step 6: Final answer
    x = 517.65

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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.