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Finding the Fourth Proportional to 823.02, 1,233.64 and 361.05

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Solution

The fourth proportional to 823.02, 1,233.64 and 361.05 is: 541.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.02 : 1,233.64 = 361.05 : x
  2. Step 2: Convert to fraction form
    823.02/1,233.64 = 361.05/x
  3. Step 3: Cross multiply
    823.02x = 1,233.64 × 361.05
  4. Step 4: Simplify right side
    823.02x = 445,405.72
  5. Step 5: Solve for x
    x = 445,405.72/823.02
  6. Step 6: Final answer
    x = 541.18

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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.