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Finding the Fourth Proportional to 453.33, 683.31 and 414.37

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Solution

The fourth proportional to 453.33, 683.31 and 414.37 is: 624.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.33 : 683.31 = 414.37 : x
  2. Step 2: Convert to fraction form
    453.33/683.31 = 414.37/x
  3. Step 3: Cross multiply
    453.33x = 683.31 × 414.37
  4. Step 4: Simplify right side
    453.33x = 283,146.20
  5. Step 5: Solve for x
    x = 283,146.20/453.33
  6. Step 6: Final answer
    x = 624.59

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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.