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Finding the Fourth Proportional to 823.59, 1,235.50 and 361.33

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Solution

The fourth proportional to 823.59, 1,235.50 and 361.33 is: 542.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.59 : 1,235.50 = 361.33 : x
  2. Step 2: Convert to fraction form
    823.59/1,235.50 = 361.33/x
  3. Step 3: Cross multiply
    823.59x = 1,235.50 × 361.33
  4. Step 4: Simplify right side
    823.59x = 446,419.22
  5. Step 5: Solve for x
    x = 446,419.22/823.59
  6. Step 6: Final answer
    x = 542.04

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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.