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Finding the Fourth Proportional to 822.12, 1,230.30 and 638.34

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Solution

The fourth proportional to 822.12, 1,230.30 and 638.34 is: 955.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.12 : 1,230.30 = 638.34 : x
  2. Step 2: Convert to fraction form
    822.12/1,230.30 = 638.34/x
  3. Step 3: Cross multiply
    822.12x = 1,230.30 × 638.34
  4. Step 4: Simplify right side
    822.12x = 785,349.70
  5. Step 5: Solve for x
    x = 785,349.70/822.12
  6. Step 6: Final answer
    x = 955.27

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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.