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Finding the Fourth Proportional to 822.49, 1,225.13 and 820.94

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Solution

The fourth proportional to 822.49, 1,225.13 and 820.94 is: 1,222.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.49 : 1,225.13 = 820.94 : x
  2. Step 2: Convert to fraction form
    822.49/1,225.13 = 820.94/x
  3. Step 3: Cross multiply
    822.49x = 1,225.13 × 820.94
  4. Step 4: Simplify right side
    822.49x = 1,005,747.99
  5. Step 5: Solve for x
    x = 1,005,747.99/822.49
  6. Step 6: Final answer
    x = 1,222.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.