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Finding the Fourth Proportional to 453.42, 683.56 and 422.10

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Solution

The fourth proportional to 453.42, 683.56 and 422.10 is: 636.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.42 : 683.56 = 422.10 : x
  2. Step 2: Convert to fraction form
    453.42/683.56 = 422.10/x
  3. Step 3: Cross multiply
    453.42x = 683.56 × 422.10
  4. Step 4: Simplify right side
    453.42x = 288,530.68
  5. Step 5: Solve for x
    x = 288,530.68/453.42
  6. Step 6: Final answer
    x = 636.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.