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Finding the Fourth Proportional to 456.33, 680.44 and 420.87

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Solution

The fourth proportional to 456.33, 680.44 and 420.87 is: 627.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.33 : 680.44 = 420.87 : x
  2. Step 2: Convert to fraction form
    456.33/680.44 = 420.87/x
  3. Step 3: Cross multiply
    456.33x = 680.44 × 420.87
  4. Step 4: Simplify right side
    456.33x = 286,375.73
  5. Step 5: Solve for x
    x = 286,375.73/456.33
  6. Step 6: Final answer
    x = 627.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.