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Finding the Fourth Proportional to 600.20, 901.20 and 418.40

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Solution

The fourth proportional to 600.20, 901.20 and 418.40 is: 628.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.20 : 901.20 = 418.40 : x
  2. Step 2: Convert to fraction form
    600.20/901.20 = 418.40/x
  3. Step 3: Cross multiply
    600.20x = 901.20 × 418.40
  4. Step 4: Simplify right side
    600.20x = 377,062.08
  5. Step 5: Solve for x
    x = 377,062.08/600.20
  6. Step 6: Final answer
    x = 628.23

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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.