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Finding the Fourth Proportional to 455.44, 680.09 and 429.84

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Solution

The fourth proportional to 455.44, 680.09 and 429.84 is: 641.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.44 : 680.09 = 429.84 : x
  2. Step 2: Convert to fraction form
    455.44/680.09 = 429.84/x
  3. Step 3: Cross multiply
    455.44x = 680.09 × 429.84
  4. Step 4: Simplify right side
    455.44x = 292,329.89
  5. Step 5: Solve for x
    x = 292,329.89/455.44
  6. Step 6: Final answer
    x = 641.86

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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.