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Finding the Fourth Proportional to 902.23, 1,350.40 and 490.35

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Solution

The fourth proportional to 902.23, 1,350.40 and 490.35 is: 733.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.23 : 1,350.40 = 490.35 : x
  2. Step 2: Convert to fraction form
    902.23/1,350.40 = 490.35/x
  3. Step 3: Cross multiply
    902.23x = 1,350.40 × 490.35
  4. Step 4: Simplify right side
    902.23x = 662,168.64
  5. Step 5: Solve for x
    x = 662,168.64/902.23
  6. Step 6: Final answer
    x = 733.92

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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.