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Finding the Fourth Proportional to 822.00, 1,232.98 and 205.70

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Solution

The fourth proportional to 822.00, 1,232.98 and 205.70 is: 308.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.00 : 1,232.98 = 205.70 : x
  2. Step 2: Convert to fraction form
    822.00/1,232.98 = 205.70/x
  3. Step 3: Cross multiply
    822.00x = 1,232.98 × 205.70
  4. Step 4: Simplify right side
    822.00x = 253,627.42
  5. Step 5: Solve for x
    x = 253,627.42/822.00
  6. Step 6: Final answer
    x = 308.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.