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Finding the Fourth Proportional to 902.29, 1,353.48 and 381.77

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Solution

The fourth proportional to 902.29, 1,353.48 and 381.77 is: 572.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.29 : 1,353.48 = 381.77 : x
  2. Step 2: Convert to fraction form
    902.29/1,353.48 = 381.77/x
  3. Step 3: Cross multiply
    902.29x = 1,353.48 × 381.77
  4. Step 4: Simplify right side
    902.29x = 516,718.06
  5. Step 5: Solve for x
    x = 516,718.06/902.29
  6. Step 6: Final answer
    x = 572.67

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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.