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Finding the Fourth Proportional to 491.70, 736.20 and 382.80

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Solution

The fourth proportional to 491.70, 736.20 and 382.80 is: 573.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.70 : 736.20 = 382.80 : x
  2. Step 2: Convert to fraction form
    491.70/736.20 = 382.80/x
  3. Step 3: Cross multiply
    491.70x = 736.20 × 382.80
  4. Step 4: Simplify right side
    491.70x = 281,817.36
  5. Step 5: Solve for x
    x = 281,817.36/491.70
  6. Step 6: Final answer
    x = 573.15

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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.