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Finding the Fourth Proportional to 491.22, 737.46 and 329.62

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Solution

The fourth proportional to 491.22, 737.46 and 329.62 is: 494.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.22 : 737.46 = 329.62 : x
  2. Step 2: Convert to fraction form
    491.22/737.46 = 329.62/x
  3. Step 3: Cross multiply
    491.22x = 737.46 × 329.62
  4. Step 4: Simplify right side
    491.22x = 243,081.57
  5. Step 5: Solve for x
    x = 243,081.57/491.22
  6. Step 6: Final answer
    x = 494.86

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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.