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Finding the Fourth Proportional to 812.81, 1,219.77 and 299.81

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Solution

The fourth proportional to 812.81, 1,219.77 and 299.81 is: 449.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.81 : 1,219.77 = 299.81 : x
  2. Step 2: Convert to fraction form
    812.81/1,219.77 = 299.81/x
  3. Step 3: Cross multiply
    812.81x = 1,219.77 × 299.81
  4. Step 4: Simplify right side
    812.81x = 365,702.29
  5. Step 5: Solve for x
    x = 365,702.29/812.81
  6. Step 6: Final answer
    x = 449.92

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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.