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Finding the Fourth Proportional to 902.13, 1,352.71 and 381.57

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Solution

The fourth proportional to 902.13, 1,352.71 and 381.57 is: 572.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.13 : 1,352.71 = 381.57 : x
  2. Step 2: Convert to fraction form
    902.13/1,352.71 = 381.57/x
  3. Step 3: Cross multiply
    902.13x = 1,352.71 × 381.57
  4. Step 4: Simplify right side
    902.13x = 516,153.55
  5. Step 5: Solve for x
    x = 516,153.55/902.13
  6. Step 6: Final answer
    x = 572.15

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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.