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Finding the Fourth Proportional to 902.56, 1,353.31 and 354.12

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Solution

The fourth proportional to 902.56, 1,353.31 and 354.12 is: 530.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.56 : 1,353.31 = 354.12 : x
  2. Step 2: Convert to fraction form
    902.56/1,353.31 = 354.12/x
  3. Step 3: Cross multiply
    902.56x = 1,353.31 × 354.12
  4. Step 4: Simplify right side
    902.56x = 479,234.14
  5. Step 5: Solve for x
    x = 479,234.14/902.56
  6. Step 6: Final answer
    x = 530.97

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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.