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Finding the Fourth Proportional to 820.36, 1,229.46 and 454.96

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Solution

The fourth proportional to 820.36, 1,229.46 and 454.96 is: 681.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.36 : 1,229.46 = 454.96 : x
  2. Step 2: Convert to fraction form
    820.36/1,229.46 = 454.96/x
  3. Step 3: Cross multiply
    820.36x = 1,229.46 × 454.96
  4. Step 4: Simplify right side
    820.36x = 559,355.12
  5. Step 5: Solve for x
    x = 559,355.12/820.36
  6. Step 6: Final answer
    x = 681.84

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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.