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Finding the Fourth Proportional to 600.44, 902.03 and 427.55

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Solution

The fourth proportional to 600.44, 902.03 and 427.55 is: 642.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.44 : 902.03 = 427.55 : x
  2. Step 2: Convert to fraction form
    600.44/902.03 = 427.55/x
  3. Step 3: Cross multiply
    600.44x = 902.03 × 427.55
  4. Step 4: Simplify right side
    600.44x = 385,656.28
  5. Step 5: Solve for x
    x = 385,656.28/600.44
  6. Step 6: Final answer
    x = 642.29

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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.