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Finding the Fourth Proportional to 902.12, 1,352.34 and 324.86

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Solution

The fourth proportional to 902.12, 1,352.34 and 324.86 is: 486.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.12 : 1,352.34 = 324.86 : x
  2. Step 2: Convert to fraction form
    902.12/1,352.34 = 324.86/x
  3. Step 3: Cross multiply
    902.12x = 1,352.34 × 324.86
  4. Step 4: Simplify right side
    902.12x = 439,321.17
  5. Step 5: Solve for x
    x = 439,321.17/902.12
  6. Step 6: Final answer
    x = 486.99

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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.