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Finding the Fourth Proportional to 467.07, 699.67 and 428.79

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Solution

The fourth proportional to 467.07, 699.67 and 428.79 is: 642.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.07 : 699.67 = 428.79 : x
  2. Step 2: Convert to fraction form
    467.07/699.67 = 428.79/x
  3. Step 3: Cross multiply
    467.07x = 699.67 × 428.79
  4. Step 4: Simplify right side
    467.07x = 300,014.66
  5. Step 5: Solve for x
    x = 300,014.66/467.07
  6. Step 6: Final answer
    x = 642.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.