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Finding the Fourth Proportional to 812.84, 1,216.38 and 805.16

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Solution

The fourth proportional to 812.84, 1,216.38 and 805.16 is: 1,204.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.84 : 1,216.38 = 805.16 : x
  2. Step 2: Convert to fraction form
    812.84/1,216.38 = 805.16/x
  3. Step 3: Cross multiply
    812.84x = 1,216.38 × 805.16
  4. Step 4: Simplify right side
    812.84x = 979,380.52
  5. Step 5: Solve for x
    x = 979,380.52/812.84
  6. Step 6: Final answer
    x = 1,204.89

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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.