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Finding the Fourth Proportional to 902.31, 1,353.87 and 415.73

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Solution

The fourth proportional to 902.31, 1,353.87 and 415.73 is: 623.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.31 : 1,353.87 = 415.73 : x
  2. Step 2: Convert to fraction form
    902.31/1,353.87 = 415.73/x
  3. Step 3: Cross multiply
    902.31x = 1,353.87 × 415.73
  4. Step 4: Simplify right side
    902.31x = 562,837.61
  5. Step 5: Solve for x
    x = 562,837.61/902.31
  6. Step 6: Final answer
    x = 623.77

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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.