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Finding the Fourth Proportional to 1,212.72, 1,817.19 and 822.30

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Solution

The fourth proportional to 1,212.72, 1,817.19 and 822.30 is: 1,232.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.72 : 1,817.19 = 822.30 : x
  2. Step 2: Convert to fraction form
    1,212.72/1,817.19 = 822.30/x
  3. Step 3: Cross multiply
    1,212.72x = 1,817.19 × 822.30
  4. Step 4: Simplify right side
    1,212.72x = 1,494,275.34
  5. Step 5: Solve for x
    x = 1,494,275.34/1,212.72
  6. Step 6: Final answer
    x = 1,232.17

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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.