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Finding the Fourth Proportional to 822.05, 1,231.11 and 455.93

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Solution

The fourth proportional to 822.05, 1,231.11 and 455.93 is: 682.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.05 : 1,231.11 = 455.93 : x
  2. Step 2: Convert to fraction form
    822.05/1,231.11 = 455.93/x
  3. Step 3: Cross multiply
    822.05x = 1,231.11 × 455.93
  4. Step 4: Simplify right side
    822.05x = 561,293.83
  5. Step 5: Solve for x
    x = 561,293.83/822.05
  6. Step 6: Final answer
    x = 682.80

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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.