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Finding the Fourth Proportional to 1,146.82, 1,719.80 and 453.64

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Solution

The fourth proportional to 1,146.82, 1,719.80 and 453.64 is: 680.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.82 : 1,719.80 = 453.64 : x
  2. Step 2: Convert to fraction form
    1,146.82/1,719.80 = 453.64/x
  3. Step 3: Cross multiply
    1,146.82x = 1,719.80 × 453.64
  4. Step 4: Simplify right side
    1,146.82x = 780,163.50
  5. Step 5: Solve for x
    x = 780,163.50/1,146.82
  6. Step 6: Final answer
    x = 680.29

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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.