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Finding the Fourth Proportional to 888.22, 1,328.64 and 822.61

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Solution

The fourth proportional to 888.22, 1,328.64 and 822.61 is: 1,230.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.22 : 1,328.64 = 822.61 : x
  2. Step 2: Convert to fraction form
    888.22/1,328.64 = 822.61/x
  3. Step 3: Cross multiply
    888.22x = 1,328.64 × 822.61
  4. Step 4: Simplify right side
    888.22x = 1,092,952.55
  5. Step 5: Solve for x
    x = 1,092,952.55/888.22
  6. Step 6: Final answer
    x = 1,230.50

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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.