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Finding the Fourth Proportional to 812.83, 1,219.36 and 325.87

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Solution

The fourth proportional to 812.83, 1,219.36 and 325.87 is: 488.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.83 : 1,219.36 = 325.87 : x
  2. Step 2: Convert to fraction form
    812.83/1,219.36 = 325.87/x
  3. Step 3: Cross multiply
    812.83x = 1,219.36 × 325.87
  4. Step 4: Simplify right side
    812.83x = 397,352.84
  5. Step 5: Solve for x
    x = 397,352.84/812.83
  6. Step 6: Final answer
    x = 488.85

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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.