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Finding the Fourth Proportional to 600.70, 902.40 and 418.45

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Solution

The fourth proportional to 600.70, 902.40 and 418.45 is: 628.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.70 : 902.40 = 418.45 : x
  2. Step 2: Convert to fraction form
    600.70/902.40 = 418.45/x
  3. Step 3: Cross multiply
    600.70x = 902.40 × 418.45
  4. Step 4: Simplify right side
    600.70x = 377,609.28
  5. Step 5: Solve for x
    x = 377,609.28/600.70
  6. Step 6: Final answer
    x = 628.62

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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.