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Finding the Fourth Proportional to 742.82, 1,113.56 and 453.64

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Solution

The fourth proportional to 742.82, 1,113.56 and 453.64 is: 680.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.82 : 1,113.56 = 453.64 : x
  2. Step 2: Convert to fraction form
    742.82/1,113.56 = 453.64/x
  3. Step 3: Cross multiply
    742.82x = 1,113.56 × 453.64
  4. Step 4: Simplify right side
    742.82x = 505,155.36
  5. Step 5: Solve for x
    x = 505,155.36/742.82
  6. Step 6: Final answer
    x = 680.05

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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.