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Finding the Fourth Proportional to 468.44, 699.26 and 429.92

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Solution

The fourth proportional to 468.44, 699.26 and 429.92 is: 641.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.44 : 699.26 = 429.92 : x
  2. Step 2: Convert to fraction form
    468.44/699.26 = 429.92/x
  3. Step 3: Cross multiply
    468.44x = 699.26 × 429.92
  4. Step 4: Simplify right side
    468.44x = 300,625.86
  5. Step 5: Solve for x
    x = 300,625.86/468.44
  6. Step 6: Final answer
    x = 641.76

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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.