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Finding the Fourth Proportional to 822.30, 1,233.54 and 267.02

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Solution

The fourth proportional to 822.30, 1,233.54 and 267.02 is: 400.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.30 : 1,233.54 = 267.02 : x
  2. Step 2: Convert to fraction form
    822.30/1,233.54 = 267.02/x
  3. Step 3: Cross multiply
    822.30x = 1,233.54 × 267.02
  4. Step 4: Simplify right side
    822.30x = 329,379.85
  5. Step 5: Solve for x
    x = 329,379.85/822.30
  6. Step 6: Final answer
    x = 400.56

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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.