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Finding the Fourth Proportional to 467.62, 698.99 and 329.74

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Solution

The fourth proportional to 467.62, 698.99 and 329.74 is: 492.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.62 : 698.99 = 329.74 : x
  2. Step 2: Convert to fraction form
    467.62/698.99 = 329.74/x
  3. Step 3: Cross multiply
    467.62x = 698.99 × 329.74
  4. Step 4: Simplify right side
    467.62x = 230,483.31
  5. Step 5: Solve for x
    x = 230,483.31/467.62
  6. Step 6: Final answer
    x = 492.89

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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.