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Finding the Fourth Proportional to 902.45, 1,353.34 and 491.02

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Solution

The fourth proportional to 902.45, 1,353.34 and 491.02 is: 736.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.45 : 1,353.34 = 491.02 : x
  2. Step 2: Convert to fraction form
    902.45/1,353.34 = 491.02/x
  3. Step 3: Cross multiply
    902.45x = 1,353.34 × 491.02
  4. Step 4: Simplify right side
    902.45x = 664,517.01
  5. Step 5: Solve for x
    x = 664,517.01/902.45
  6. Step 6: Final answer
    x = 736.35

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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.