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Finding the Fourth Proportional to 902.01, 1,353.15 and 324.75

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Solution

The fourth proportional to 902.01, 1,353.15 and 324.75 is: 487.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.01 : 1,353.15 = 324.75 : x
  2. Step 2: Convert to fraction form
    902.01/1,353.15 = 324.75/x
  3. Step 3: Cross multiply
    902.01x = 1,353.15 × 324.75
  4. Step 4: Simplify right side
    902.01x = 439,435.46
  5. Step 5: Solve for x
    x = 439,435.46/902.01
  6. Step 6: Final answer
    x = 487.17

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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.