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Finding the Fourth Proportional to 902.13, 1,352.18 and 381.97

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Solution

The fourth proportional to 902.13, 1,352.18 and 381.97 is: 572.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.13 : 1,352.18 = 381.97 : x
  2. Step 2: Convert to fraction form
    902.13/1,352.18 = 381.97/x
  3. Step 3: Cross multiply
    902.13x = 1,352.18 × 381.97
  4. Step 4: Simplify right side
    902.13x = 516,492.19
  5. Step 5: Solve for x
    x = 516,492.19/902.13
  6. Step 6: Final answer
    x = 572.53

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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.